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# Функциональный анализ

## Abramovich Y., Avgerinos E., Yannelis N.C. (eds.) Functional Analysis and Economic Theory

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Springer, 1998. — 300 p. — ISBN: 9783642722240, EISBN: 9783642722226 Yuri Abramovich, Arkady Kitover (auth.), Professor Yuri Abramovich, Dr. Evgenios Avgerinos, Professor Nicholas C. Yannelis (eds.) In July of 1996, the conference Nonlinear Analysis and its Applications in Engineering and Economics took place on the Greek island of Samos, the birthplace of Pythagoras. During...
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## Aczel J. Lectures on Functional Equations and Their Applications

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Dover Publications, 2006. - 544 p. Numerous detailed proofs highlight this systematic treatment, which offers upper-level undergraduates and graduate students an elementary approach to functional equations. Starting with equations that can be solved by simple substitutions, the first part examines the determination of the values of the unknown function on a dense set. It also...
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## Aczel J., Dhombres J. Functional equations in several variables

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Digitally printed version, 2008. — Cambridge: Cambridge University Press, 1989. — 462 p. — ISBN 978-0-521-35276-5; 978-0-521-06389-0 Axiomatic motivation of vector addition Cauchy's equation. Hamel basis Three further Cauchy equations. An application to information theory Generalizations of Cauchy's equations to several multiplace vector and matrix functions. An application to...
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Academic Press, 1975. - 286 pages. "This book can be highly recommended to every reader interested in functional analysis and its applications" (MathSciNet on Sobolev Spaces, First Edition) Sobolev Spaces presents an introduction to the theory of Sobolev spaces and related spaces of function of several real variables, especially the imbedding characteristics of these...
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## Adams R.A., Fournier J.J. Sobolev spaces

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Academic Press, 2003. — 310 p. "This book can be highly recommended to every reader interested in functional analysis and its applications"(MathSciNet on Sobolev Spaces, First Edition)Sobolev Spaces presents an introduction to the theory of Sobolev spaces and related spaces of function of several real variables, especially the imbedding characteristics of these spaces. This...
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## Akerkar R. Nonlinear Functional Analysis

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American Mathematical Society, 1999. - 167 pages. Gives background for the solution of nonlinear equations in Banach spaces - Contains basic techniques in nonlinear analysis and touches some perimeters of present day research - Deals with recent topics like measures of non-compactness, topological degree and Bifurcation theory.
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## Akhiezer N.I., Glazman I.M. Theory of Linear Operators in Hilbert Space

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Translated from the Russian (Ахиезер Н.И., Глазман И.М. Теория линейных операторов в гильбертовом пространстве) by Merlynd Nestell, New York, 1993, - 218 pages. The present book stems from lectures and papers which were presented by the authors at the Kharkov Mathematics Institute. It is not exhaustive and perhaps should be called "An Introduction to Linear Operators in Hilbert...
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## Albiac F., Kalton N.J. Topics in Banach Space Theory

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Springer Inc., 2006. — 372 p. — (Graduate Texts in Mathematics 233) — ISBN13 978-0387-28141-4. Assuming only a basic knowledge of functional analysis, the book gives the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space...
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## Albiac F., Kalton N.J. Topics in Banach Space Theory

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2nd Edition. — Springer International Publishing Switzerland, 2016. — 512 p. — (Graduate Texts in Mathematics 233) — ISBN 978-3-319-31555-3. Ten years ago, Fernando Albiac and Nigel Kalton completed their book Topics in Banach Space Theory. Sometimes, the mathematical community recognizes the true value of a fine work. Fortunately, that is what happened with this book, which has...
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## Albin P., Jakobson D., Rochon F. (eds.) Geometric and Spectral Analysis

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Providence: Americam Mathematical Society. 2014. — 378 p. In 2012, thematic programs on Geometric Analysis and Spectral Theory and on Moduli spaces, Extremality and Global Invariants were held at the CRM. There were several workshops on cutting-edge topics in geometric analysis and spectral theory, notably on the Geometry of Eigenvalues and Eigenfunctions, on Manifolds of Metrics...
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## Aldroubi A. (et al.) New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis

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Birkhäuser, 2016. — 356 p. — (Applied and Numerical Harmonic Analysis). — ISBN: 9783319278711, EISBN: 9783319278735 Aldroubi A., Cabrelli, C., Jaffard, S., Molter, U. (Eds.) This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal...
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## Aldroubi A., Cabrelli C., Jaffard S., Molter U. (Eds.) New Trends in Applied Harmonic Analysis. Volume 2: Harmonic Analysis, Geometric Measure Theory, and Applications

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Springer, 2019. — 335 p. — (Applied and Numerical Harmonic Analysis). — ISBN 978-3-030-32352-3. This contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the University of Buenos Aires in August 2017. These articles highlight recent breakthroughs in both...
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## Aldroubi A., Cabrelli C., Jaffard S., Molter U. (Eds.) New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis

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Springer, 2016. — 356 p. — (Applied and Numerical Harmonic Analysis). — ISBN 978-3-319-27871-1. This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing...
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## Aldroubi A., Cabrelli, C., Jaffard, S., Molter, U. (Eds.) New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis

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Birkhäuser, 2016. — 364 p. — (Applied and Numerical Harmonic Analysis). — ISBN-10 3319278711. This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have...
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## Aleman A., Hedenmalm H., Khavinson D., Putinar M. (Eds.) Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume

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Springer, 2019. — 283 p. — (Trends in Mathematics). — ISBN 978-3-030-14639-9. This book contains both expository articles and original research in the areas of function theory and operator theory. The contributions include extended versions of some of the lectures by invited speakers at the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute in...
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## Aliprantis C.D. Problems in Real Analysis

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Academic Press, 1998. - 403 Pages. A collection of problems and solutions in real analysis based on the major textbook, Principles of Real Analysis (also by Aliprantis and Burkinshaw), Problems in Real Analysis is the ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis. It is intended for use as an independent...
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## Allan G. Introduction to Banach Spaces and Algebras

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Oxford University Press, 2011. - 384 pages. ISBN: 0199206546 Banach spaces and algebras are a key topic of pure mathematics. Graham Allan's careful and detailed introductory account will prove essential reading for anyone wishing to specialise in functional analysis and is aimed at final year undergraduates or masters level students. Based on the author's lectures to fourth...
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## Alonso-Gutierrez D., Bastero J. Approaching the Kannan-Lovász-Simonovits and Variance Conjectures

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Springer, 2015. — 159 p. — (Lecture Notes in Mathematics 2131). — ISBN 978-3-319-13262-4. Focusing on two central conjectures of Asymptotic Geometric Analysis, the Kannan-Lovász-Simonovits spectral gap conjecture and the variance conjecture, these Lecture Notes present the theory in an accessible way, so that interested readers, even those who are not experts in the field, will be...
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## Alpay D., Kirstein B. (Eds.) Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations: A Volume Dedicated to Heinz Langer

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Springer International Publishing AG, part of Springer Nature, 2018. — 501 p. — (Operator Theory: Advances and Applications 263) — ISBN 3319688480. This is a volume dedicated to Heinz Langer. It includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he studied the domains of operator pencils...
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## Alpay D., Kirstein B. (eds.) Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes: A Collection of Papers Dedicated to Lev Sakhnovich

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Basel: Birkhauser, 2015. - 406p. The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.
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## Alpay D., Vinnikov V. (eds.) Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations

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Basel: Birkhauser, 2005. - 312p. This volume contains a selection of papers, from experts in the area, on multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations. Operator Theory, Systems Theory and...
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## Alpay Daniel (ed.) Wavelets, Multiscale Systems and Hypercomplex Analysis

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Birkhäuser Basel, 2006. — 190 p. From a mathematical point of view it is fascinating to realize that most, if not all, of the notions arising from the theory of analytic functions in the open unit disk have counterparts when one replaces the integers by the nodes of a homogeneous tree. It is also fascinating to realize that a whole function theory, different from the classical...
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## Amann H. et al. (Eds.) Functional Analysis and Evolution Equations: The Günter Lumer Volume

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Birkhäuser Basel – 2008, 643 pages ISBN: 3764377933, 9783764377939 Gunter Lumer was an outstanding mathematician whose works have great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips from 1957. This volume...
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## Ambrosetti A., Prodi G. A Primer of Nonlinear Analysis

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Cambridge University Press, 1995, 173p. This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are...
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## Anastassiou G.A., Rassias J.M. (Eds.) Frontiers in Functional Equations and Analytic Inequalities

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Springer, 2019. — 746 p. — ISBN 978-3-030-28949-2. This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics: Hyperstability of a linear functional equation on restricted domains Hyers–Ulam’s...
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## Annaby M.H., Mansour Z.S. q-Fractional Calculus and Equations

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Springer, 2012. — 337 pages. ISBN-10: 364230897X This nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings. It starts with elementary calculus of q-differences and integration of Jackson’s type before turning to q-difference equations. The existence and uniqueness theorems are derived using successive...
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## Ansari Q.H. Metric Spaces: Including Fixed Point Theory and Set-valued Maps

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Alpha Science, 2010. — 210 p. — ISBN: 1842656554 METRIC SPACES is intended for undergraduate students offering a course of metric spaces and post graduate students offering a course of nonlinear analysis or fixed point theory. The first six chapters cover basic concepts of metric spaces, separable spaces, compact spaces, connected spaces and continuity of functions defined on...
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## Antoine J.-P., Tirapegui E. (eds.) Functional Integration: Theory and Applications

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Plenum Press, 1980. — 354 p. There is no doubt now that functional integration is a tool that is being applied in all branches of modern physics. Since the earlier works of Dirac and Feynman enormous progress has been made, but unfortunately we lack still a unifying and rigorous mathematical framework to account for all the situations in which one is interested. We are then in...
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## Antosik P., Swartz C. Matrix methods in analysis

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Springer, 1985. — 118 p. In this set of lecture notes, we present a culmination of results on infinite matrices which were evolved by the members of the Katowice Branch of the Mathematics Institute of the Polish Academy of Sciences.
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## Argyros S.A., Todorcevic S. Ramsey Methods in Analysis

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Basel: Birkhäuser, 2005. — 305 p. This book introduces graduate students and resarchers to the study of the geometry of Banach spaces using combinatorial methods. The combinatorial, and in particular the Ramsey-theoretic, approach to Banach space theory is not new, it can be traced back as early as the 1970s. Its full appreciation, however, came only during the last decade or so,...
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## Arnold D.N. Functional Analysis

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1997. — 37 pages. These lecture notes were prepared for the instructor's personal use in teaching a half-semester course on functional analysis at the beginning graduate level at Penn State, in Spring 1997. CONTENTS Vector spaces and their topology (Subspaces and quotient spaces; Basic properties of Hilbert spaces) Linear Operators and Functionals (The Hahn-Banach...
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## Arnold D.N. Functional Analysis

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Department of Mathematics, Penn State University, 1997. — 36 pages. OCR . These lecture notes were prepared for the instructor's personal use in teaching a half-semester course on functional analysis at the beginning graduate level at Penn State, in Spring 1997. Vector spaces and their topology . Subspaces and quotient spaces. Basic properties of Hilbert spaces. Linear...
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## Arveson W. A Short Course on Spectral Theory

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Springer, 2001. - 152 pages. This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that...
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## Ash R.B. Measure, Ingegration and Functional Analysis

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Academic Press, 1972. — 297 p. The book deals with the mathematical concepts of measure, integration, and functional analysis. The fundamentals of measure and integration theory are discussed, along with the interplay between measure theory and topology. Comprised of four chapters, this book begins with an overview of the basic concepts of the theory of measure and integration as...
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## Aubert A.-M., Mishra M., Roche A., Spallone S. (Eds.) Representations of Reductive p-adic Groups: International Conference, IISER, Pune, India, 2017

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Springer, 2019. — 297 p. — (Progress in Mathematics 328). — ISBN 978-981-13-6627-7. This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of...
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## Axler S., Bourdon P., Ramey W. Harmonic Function Theory

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Springer, 2001. — 270 p. — 2nd ed. — ISBN: 0387952187, 9780387952185 This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the...
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## Axler Sheldon. Measure, Integration & Real Analysis

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SpringerOpen, 2020. — 429 p. — (Graduate Texts in Mathematics, 282). — ISBN 3030331423. This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single...
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## Bade W.G. The Banach space C(S)

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Aarhus: Aarhus Universitet, Matematisk institut, 1971. — 157 p. Contents: Characterizations of CS Milutins isomorphism theorem Lower bounds for averaging operators Stonian spaces Hyperstonian spaces Weak compactness in MS Phillips theorem and applications 13 Bibliographic comments
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## Baggett L. Functional Analysis: a Primer

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CRC Press, 1992. — 286 p. The marriage of algebra and topology has produced many beautiful and intricate subjects in mathematics, of which perhaps the broadest is functional analysis. My aim has been to write a textbook with which graduate students can master at least some of the powerful tools of this subject. Because I think that one learns best by doing, I believe that it...
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## Baggett Lawrence W. Functional Analysis. A Primer

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Marcel Dekker, Inc., 1992. — 285 p. The marriage of algebra and topology has produced many beautiful and intricate subjects in mathematics, of which perhaps the broadest is functional analysis. My aim has been to write a textbook with which graduate students can master at least some of the powerful tools of this subject. Because I think that one learns best by doing, I believe...
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## Balakrishnan A.V. Applied Functional Analysis

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Springer-Verlag, 1981. - 373 pages. The title "Applied Functional Analysis" is intended to be short for "Functional analysis in a Hilbert space and certain of its applications," the applications being drawn mostly from areas variously referred to as system optimization or control systems or systems analysis. One of the signs of the times is a discernible tilt toward...
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## Banks H.T. A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering

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New York: Chapman and Hall/CRC, 2012. — 278 p. A Modern Framework Based on Time-Tested Material A Functional Analysis Framework for Modeling, Essystems. Drawing on his extensive research and teaching from the past 20 years, the author explains how functional analysis can be the basis of modern partial differential equation (PDE) and delay differential equation (DDE)...
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## Barbu V. Differential Equations

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Springer International Publishing, Switzerland, 2016. — 230 p. — (Springer Undergraduate Mathematics Series) — ISBN-10: 3319452606 The present book is devoted to the study of differential equations. It is well known that to write a monograph or a textbook in a classical subject is a difficult enterprise requiring a rigorous selection of topics and exposition techniques. Part of...
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## Barbu V., Precupanu T. Convexity and Optimization in Banach Spaces

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Amsterdam: Springer, 2012. - 368p An updated and revised edition of the 1986 title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach...
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## Barbu Viorel. Nonlinear semigroups and differential equations in Banach spaces

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Leyden, Noordhoff International Publishing, 1976, 352p, ISBN 90-286-0205-4. The book is concerned with nonlinear semigroups of contractions in Banach spaces and their application to the existence theory for differential equations associated with nonlinear dissipative operators. Table of content: Preface to the first edition Preface to the English edition Chapter I....
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## Barilari D., Boscain U., Sigalotti M. (Eds.) Geometry, Analysis and Dynamics on sub-Riemannian Manifolds. Volume II

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European Mathematical Society, 2016. — 309 p. — (EMS-Series of Lectures in Mathematics) — ISBN 3037191635. Sub-Riemannian manifolds model media with constrained dynamics: motion at any point is only allowed along a limited set of directions, which are prescribed by the physical problem. From the theoretical point of view, sub-Riemannian geometry is the geometry underlying the...
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## Barilari D., Boscain U., Sigalotti M.(Eds) Geometry, Analysis and Dynamics on sub-Riemannian Manifolds. Volume I

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London, UK, European Mathematical Society, 2016. — 334 p. — (EMS Series of Lectures in Mathematics 24). — ISBN 3037191627. A publication of the European Mathematical Society Sub-Riemannian manifolds model media with constrained dynamics: motion at any point is allowed only along a limited set of directions, which are prescribed by the physical problem. From the theoretical point...
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## Barroso J.A. (ed.) Functional analysis, holomorphy, and approximation theory

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North-Holland, 1982. — 495 p. This volume is the Proceedings of the Seminario de Analise Funcional, Holomorfia e Teoria da Aproximaoao, held at the Instituto de Matematica, Universidade Federal do Rio de Janeiro (UFRJ) in August 4-8, I98O. It includes papers of a research or of an advanced expository nature. Some of them were presented at the Seminar. Others are contributions of...
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## Bartle R. The Elements of Real Analysis

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Wiley, 1967. — 462 p. There was a time when an undergraduate student of mathematics was expected to develop technique in solving problems that involved considerable computation; however, he was not expected to master theoretical subtleties such as uniform convergence or uniform continuity. The student was expected to be able to use the Implicit Function Theorem, but was not...
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## Bartle R.G. The Elements of Integration and Lebesgue Measure

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Wiley-Interscience, 1995. - 192 Pages. This book consists of two separate, but closely related, parts. The first part (Chapters 1-10) is subtitled The Elements of Integration; the second part (Chapters 11-17) is subtitled The Elements of Lebesgue measure. It is possible to read these two parts in either order, with only a bit of repetition. The Elements of Integration is...
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## Bátkai A., Fijavž M.K., Rhandi A. Positive Operator Semigroups: From Finite to Infinite Dimensions

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Springer International Publishing AG, 2017. — 366 p. — (Operator Theory: Advances and Applications 257) — ISBN: 331942811X This book is devoted to positive linear dynamical systems appearing frequently in mathematical models of various real-life problems. Here we present an operator theoretic approach and treat these systems using the theory of one-parameter semigroups. We study...
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## Bauschke H.H., Burachik R.S., Luke D.R. (Eds.) Splitting Algorithms, Modern Operator Theory, and Applications

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Springer, 2019. — 500 p. — ISBN 978-3-030-25938-9. This book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis with particular emphasis on algorithms. The discussion also focuses on advances in monotone operator theory and other topics from variational analysis and nonsmooth optimization, especially as they pertain...
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## Bauschke H.H., Combettes P.L. Convex Analysis and Monotone Operator Theory in Hilbert Spaces

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2nd Edition. — Springer, 2017. — 683 p. — (CMS Books in Mathematics). — ISBN 9783319483108. Taking a unique comprehensive approach, the theory is developed from the ground up, with the rich connections and interactions between the areas as the central focus, and it is illustrated by a large number of examples. The Hilbert space setting of the material offers a wide range of...
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## Bauschke H.H., Combettes P.L. Convex analysis and monotone operator theory in Hilbert spaces

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Springer, 2011. — 486 p. This self-contained book offers a modern unifying presentation of three basic areas of nonlinear analysis, namely convex analysis, monotone operator theory, and the fixed point theory of nonexpansive mappings. This turns out to be a judicious choice. Showing the rich connections and interplay between these topics gives a strong coherence to the book....
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## Bauschke H.H., Combettes P.L. Convex Analysis and Monotone Operator Theory in Hilbert Spaces

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2nd Edition. — Springer, 2017. — 620 p. — (CMS Books in Mathematics). — ISBN 9783319483108. Taking a unique comprehensive approach, the theory is developed from the ground up, with the rich connections and interactions between the areas as the central focus, and it is illustrated by a large number of examples. The Hilbert space setting of the material offers a wide range of...
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## Bede B., Coroianu L., Gal S.G. Approximation by Max-Product Type Operators

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New York: Springer, 2016. — 468 p. Presents a broad treatment of so-called "max-product" type operators Discusses the analogy between the probabilistic and possibilistic approaches of the classical Bernstein type operators Considers a wide variety of operators which are studied for a number of interesting problems This monograph presents a broad treatment of developments in...
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## Bercovici H., Brown A., Pearcy C. Measure and Integration

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Springer International Publishing, Switzerland, 2016. — 306 p. — ISBN: 9783319290447 This book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably...
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## Berg Ch., Christensen J.P.R., Ressel P. Harmonic analysis on semigroups. Theory of Positive Definite and Related Functions

• djvu
Springer, 1984. — 289 p. Introduction to Locally Convex Topological Vector Spaces and Dual Pairs. Radom Measures and Integral Representations. General Results on Positive and Negative Definite Matrices and Kernels. Main Results on Positive and Negative Definite Functions on Semigroups. Schoenberg-Type Results for Positive and Negative Definite Functions. Positive Definite...
• №58
• 3,41 МБ
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## Berger M.S. Nonlinearity and functional analysis: Lectures on nonlinear problems in mathematical analysis

• djvu
Academic Press, 1977. — 439 p. The book is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the...
• №59
• 3,06 МБ
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## Bezuglyi S., Jorgensen P.E.T. Transfer Operators, Endomorphisms, and Measurable Partitions

• pdf
Springer, 2018. — 167 p. — (Lecture Notes in Mathematics 2217). — ISBN 978-3-319-92416-8. The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a...
• №60
• 1,66 МБ
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## Biagioni H.A. A Nonlinear Theory Of Generalized Functions

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Springer, 1990. — 225 p. This book provides a simple introduction to a nonlinear theory of generalized functions introduced by J.F. Colombeau, which gives a meaning to any multiplication of distributions. This theory extends from pure mathematics to physics (it permits the resolution of ambiguities that appear in products of distributions), passing through the theory of partial...
• №61
• 5,05 МБ
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## Bishop C.J., Peres Y. Fractals in Probability and Analysis

• pdf
Cambridge: Cambridge University Press, 2017. — 408 p. This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including...
• №62
• 4,66 МБ
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## Blair A.D. Path integrals on ultrametric spaces

• djvu
Massachusetts: MIT, 1994. — 52 p. A framework for the study of path integrals on adèlic spaces is developed, and it is shown that a family of path space measures on the localizations of an algebraic number field may, under certain conditions, be combined to form a global path space measure on its adèle ring. An operator on the field of p-adic numbers analogous to the harmonic...
• №63
• 4,28 МБ
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## Blair A.D. Path integrals on ultrametric spaces

• pdf
Massachusetts: MIT, 1994. — 52 p. A framework for the study of path integrals on adèlic spaces is developed, and it is shown that a family of path space measures on the localizations of an algebraic number field may, under certain conditions, be combined to form a global path space measure on its adèle ring. An operator on the field of p-adic numbers analogous to the harmonic...
• №64
• 2,82 МБ
• добавлен
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## Blatter C. Wavelets: A Primer

• djvu
A K Peters/CRC Press - 2002, 210 pages ISBN: 1568811950, 9781568811956 The Wavelet Transform has stimulated research that is unparalleled since the invention of the Fast Fourier Transform and has opened new avenues of applications in signal processing, image compression, radiology, cardiology, and many other areas. This book grew out of a short course for mathematics students...
• №65
• 4,23 МБ
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## Blei R. Analysis in Integer and Fractional Dimensions

• pdf
Cambridge: Cambridge University Press, 2001. - 577p. This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It focuses on "dimension" as a basic counter of degrees of freedom, leading to precise relations between combinatorial measurements and various indices...
• №66
• 10,85 МБ
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## Bobrowski A. Functional Analysis for Probability and Stochastic Processes: An Introduction

• pdf
Cambridge University Press, 2005. — 393 p. This text is designed both for students of probability and stochastic processes and for students of functional analysis. For the reader not familiar with functional analysis a detailed introduction to necessary notions and facts is provided. However, this is not a straight textbook in functional analysis; rather, it presents some...
• №67
• 2,20 МБ
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## Boccuto A., Riečan B., Vrábelová M. Kurzweil-Henstock integral in Riesz spaces

• pdf
New York: Bentham Books, 2009. — 234 p. This book is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Šipoš integral, which has several applications in economy, is illustrated. The aim of this Ebook is two-fold. First, it can be understood as an introductory textbook to the Kurzweil-Henstock integral...
• №68
• 30,50 МБ
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## Bogachev V.I. Differentiable Measures and the Malliavin Calculus

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Providence, Rhode Island: American Mathematical Society, 2010. — 506 p. — (Mathematical Surveys and Monographs). — ISBN: 9780821849934. This book provides the reader with the principal concepts and results related to differential properties of measures on infinite dimensional spaces. In the finite dimensional case such properties are described in terms of densities of measures...
• №69
• 12,15 МБ
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## Bogachev V.I. Differentiable Measures and the Malliavin Calculus

• djvu
Providence, Rhode Island: American Mathematical Society, 2010. — 506 p. — (Mathematical Surveys and Monographs). — ISBN 082184993X, 9780821849934. This book provides the reader with the principal concepts and results related to differential properties of measures on infinite dimensional spaces. In the finite dimensional case such properties are described in terms of densities of...
• №70
• 3,83 МБ
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## Bogachev V.I. Measure Theory. Volume 2

• pdf
Springer, 2007. — 575 p. — ISBN 3540345132. This book gives an exposition of the foundations of modern measure theory and offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course (the material of this level corresponds to a variety of special courses), and, finally, more specialized topics partly...
• №71
• 48,33 МБ
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## Bogachev V.I., Smolyanov O.G. Topological Vector Spaces and Their Applications

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Springer, 2017. — 456 p. — (Springer Monographs in Mathematics). This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book...
• №72
• 4,52 МБ
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## Bollobás B. Linear Analysis: An Introductory Course

• pdf
Cambridge: Cambridge University Press, 1999. — 253 p. Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim is not just to cover the standard material in a standard way, but to present results of application in contemporary...
• №73
• 8,42 МБ
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## Boss-Bavnbek, Klimek, Lesch, Zhang. Analysis, geometry and topology of elliptic operators

• djvu
2006, World Scientific Publishing Co - 553 pages. Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting...
• №74
• 3,17 МБ
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## Bowers A., Kalton N.J. An Introductory Course in Functional Analysis

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Springer, 2014. — 232 p. — ISBN: 149391944X Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are...
• №75
• 2,05 МБ
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## Bray W.O., Stanojević Č.V. Analysis of Divergence. Control and Management of Divergent Processes

• pdf
Birkhäuser, 1999. — 569 p. The 7th International Workshop in Analysis and its Applications (IWAA) was held at the University of Maine, June 1-6, 1997 and featured approxi­ mately 60 mathematicians. The principal theme of the workshop shares the title of this volume and the latter is a direct outgrowth of the workshop. Divergent processes are the raison rfetre of most of...
• №76
• 14,60 МБ
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## Bresar M., Chebotar M.A., Martindale W.S. Functional Identities

• pdf
Birkhäuser Verlag, 2007. — 270 p. — ISBN: 376437795X A functional identity can be informally described as an identical relation involving arbitrary elements in an associative ring together with arbitrary (unknown) functions. The theory of functional identities is a relatively new one, and this is the first book on this subject. The book is accessible to a wide audience and...
• №77
• 1,62 МБ
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## Bressoud D.M. A Radical Approach to Lebesgue's Theory of Integration

• djvu
Cambridge University Press, 2008. - 346 pages. This lively introduction to measure theory and Lebesgue integration is motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems, highlighting the difficulties mathematicians encountered as these ideas were refined. The story begins with Riemann's...
• №78
• 2,80 МБ
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## Brezin J. Harmonic analysis on compact solvmanifolds

• djvu
Springer, 1977. — 184 p. Contents: Some basic examples The general theory Compact solvmanifolds Afterword
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• 1,08 МБ
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## Brezis Haim. Functional Analysis, Sobolev Spaces and Partial Differential Equations

• pdf
Springer, 2010. — 598 p. This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main...
• №80
• 2,49 МБ
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## Bridges D.S. Foundations of Real and Abstract Analysis

• djvu
Springer, 1998. — 324 p. — Series: Graduate Texts in Mathematics (Book 174). ISBN-10: 1475771614 ISBN-13: 978-1475771619. A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format, including elementary real...
• №81
• 1,53 МБ
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## Bridges D.S., Vita L.S. Techniques of Constructive Analysis

• pdf
Springer, 2006. — 226 p. This text provides a rigorous, wide-ranging introduction to modern constructive analysis for anyone with a strong mathematical background who is interested in the challenge of developing mathematics algorithmically. The authors begin by outlining the history of constructive mathematics, and the logic and set theory that are used throughout the book. They...
• №82
• 2,22 МБ
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## Brown B.M., Eastham M., Schmidt K.M. Periodic Differential Operators

• pdf
Birkhauser, 2012. — 226 pages. ISBN: 3034805276 Periodic differential operators have a rich mathematical theory as well as important physical applications. They have been the subject of intensive development for over a century and remain a fertile research area. This book lays out the theoretical foundations and then moves on to give a coherent account of more recent results,...
• №83
• 3,03 МБ
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## Brown M., Lang J., Wood I.G. (eds.) Spectral Theory, Function Spaces and Inequalities: New Techniques and Recent Trends

• pdf
Basel: Birkhäuser Basel, 2012. - 264p. This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory. In particular, it covers current work on measures of non-compactness and real interpolation, sharp Hardy-Littlewood-Sobolev inequalites, the HELP inequality, error estimates...
• №84
• 3,71 МБ
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## Brudnyi A., Brudnyi Y. Methods of Geometric Analysis in Extension and Trace Problems: Volume 1

• pdf
Birkhauser, 2012. — 585 p. The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the...
• №85
• 3,17 МБ
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## Brudnyi A., Brudnyi Y. Methods of Geometric Analysis in Extension and Trace Problems: Volume 2

• pdf
Birkhauser, 2012. — 435 p. The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the...
• №86
• 2,52 МБ
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## Brzdęk J., Ciepliński K., Rassias T.M. (Eds.) Developments in Functional Equations and Related Topics

• pdf
Springer International Publishing AG, 2017. — 354 p. — (Springer Optimization and Its Applications 124). — ISBN 978-3-319-61731-2. This book presents current research on Ulam stability for functional equations and inequalities. Contributions from renowned scientists emphasize fundamental and new results, methods and techniques. Detailed examples are given to theories to further...
• №87
• 3,73 МБ
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## Buhler T., Salamon D.A. Functional Analysis

• pdf
Zurich: ETH, 2017. — 477 p. This book provides an introduction to the subject of Functional Analysis for third year students of mathematics and physics with a basic knowledge of ﬁrst year analysis and linear algebra as well as some complex analysis, point set topology, and measure and integration. Preface. Introduction. Foundations. Principles of Functional Analysis. The Weak and...
• №88
• 2,81 МБ
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## Buhler T., Salamon D.A. Functional Analysis

• pdf
Zurich: ETH, 2017. — 437 p. These are notes for the lecture course “Functional Analysis I” held by the second author at ETH Zurich in the fall semester 2015. Prerequisites are the ﬁrst year courses on Analysis and Linear Algebra, and the second year courses on Complex Analysis, Topology, and Measure and Integration. The manuscript is addressed primarily to third year students of...
• №89
• 2,42 МБ
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## Bühler T., Salamon D.A. Functional Analysis

• pdf
American Mathematical Society, 2018. — 482 p. — (Graduate studies in mathematics 191). — ISBN 147044190X. Functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, and physics. This book provides a comprehensive introduction to the field for graduate students and researchers. It begins in Chapter 1 with an introduction to the...
• №90
• 3,26 МБ
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## Buono Pietro-Luciano. Advanced Calculus: Differential Calculus and Stokes' Theorem

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De Gruyter, 2016. — 314 p. This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green’s, Stokes’ and Gauss’ theorems. Furthermore, the presentation offers a natural route to differential geometry. Contents: Calculus of Vector Functions...
• №91
• 11,40 МБ
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## Burk Frank. Lebesgue Measure and Integration. An Introduction

• pdf
John Wiley & Sons, 1998. — 292 p. A superb text on the fundamentals of Lebesgue measure and integration. This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on only the most fundamental concepts, namely Lebesgue measure for R and Lebesgue integration for extended real-valued functions on R. Starting with a thorough...
• №92
• 14,31 МБ
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## Calvaruso G., López Marco Castrillon. Pseudo-Riemannian Homogeneous Structures

• pdf
Springer, 2019. — 238 p. — (Developments in Mathematics 59). — ISBN 978-3-030-18151-2. This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces. Benefiting from large symmetry groups, these spaces are of high interest in Geometry and Theoretical Physics. Since the seminal book...
• №93
• 2,70 МБ
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## Candelpergher B. Ramanujan Summation of Divergent Series

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Springer International Publishing AG, 2017. — 211 p. — (Lecture Notes in Mathematics 2185) — ISBN 3319636294. The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. Contents -Ramanujan Summation -Properties of the Ramanujan Summation -Dependence on a Parameter -Transformation Formulas -An...
• №94
• 2,03 МБ
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## Carothers N.L. A Short Course on Banach Space Theory

• pdf
Cambridge University Press, 2004. — 197 pages. — (London Mathematical Society Student Texts 64). — ISBN 978-0521842839. This short course on classical Banach space theory is a natural follow-up to a first course on functional analysis. The topics covered have proven useful in many contemporary research arenas, such as harmonic analysis, the theory of frames and wavelets, signal...
• №95
• 795,02 КБ
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## Castaing C., Valadier M. Convex analysis and measurable multifunctions

• djvu
Springer, 1977. — 280 p. Contents Convex functions Hausdorff distance and Hausdorff uniformity Measurable multifunctions Topological property of the profile of a measurable multifunction with compact convex values Compactness theorems of measurable selections and integral representation theorem Primitive of multifunctions and multivalued differential equations Convex integrand on...
• №96
• 1,96 МБ
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## Castillo J.M.F., González M. Three-space Problems in Banach Space Theory

• djvu
Springer, 1997. - 267 pages. This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for...
• №97
• 1,84 МБ
• дата добавления неизвестна
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## Cegielski A. Iterative Methods for Fixed Point Problems in Hilbert Spaces

• pdf
Springer, 2013. — 315 p. — (Lecture Notes in Mathematics 2057). — ISBN 3642309003. Iterative methods for finding fixed pointsof non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods...
• №98
• 3,99 МБ
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## Cerda J. Linear Functional Analysis

• djvu
AMS, 2010. — 347 p. — ISBN: 0821851152, 9780821851159 Functional analysis studies the algebraic, geometric, and topological structures of spaces and operators that underlie many classical problems. Individual functions satisfying specific equations are replaced by classes of functions and transforms that are determined by the particular problems at hand. This book presents the...
• №99
• 4,51 МБ
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## Chandrasekharan K. Classical Fourier Transforms

• pdf
Berlin: Springer, 1989. - 172p. This book gives a thorough introduction on classical Fourier transforms in a compact and self-contained form. Chapter I is devoted to the L1-theory: basic properties are proved as well as the Poisson summation formula, the central limit theorem and Wiener's general tauberian theorem. As an illustraiton of a Fourier transformation of a function...
• №100
• 4,94 МБ
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## Chen W.W.L. Linear Functional Analysis

• pdf
Imperial College, University of London, 2003. - 122 pages. This set of notes has been organized in such a way to create a single volume suitable for an introduction to some of the basic ideas in linear functional analysis. Chapters 1-2 were used in various forms and on many occasions between 1983 and 1990 by the author at Imperial College, University of London. Chapters 3-9 were...
• №101
• 1,48 МБ
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## Cheney W. Analysis for Applied Mathematics

• pdf
Springer, 2001. - 456 Pages. This book evolved from a course at our university for beginning graduate students in mathematics-particularly students who intended to specialize in applied mathematics. The content of the course made it attractive to other mathematics students and to graduate students from other disciplines such as engineering, physics , and computer science. Since...
• №102
• 15,04 МБ
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## Cheney W. Analysis for Applied Mathematics

• djvu
Springer, 2001. — 456 p. — ISBN: 0387952799, 9780387952796. OCR слой, оглавление. This textbook is designed for a course at the beginning graduate level, serving students of mathematics, engineering, physics, and other sciences. Its goal is to provide the analytical tools, concepts, and viewpoints needed for modern applied mathematics. The book begins with a gentle introduction...
• №103
• 4,79 МБ
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## Cheng S.S., Li W. Analytic Solutions Of Functional Equations

• pdf
World Scientific Publishing Company, 2008. - 296 pages. This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found. Unlike in other books, analytic functions are treated here as those generated by...
• №104
• 1,40 МБ
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## Choquet G. Lectures on Analysis, Vol. 1: Integration and Topological Vector Spaces

• djvu
W. A. Benjamin, 1976. — 405 p. Modern analysts use a great variety of basic tools, many of which are common to analysts in several branches. I have tried, during a one semester graduate course in Princeton, to present some of those tools that I found useful in Potential theory, Probability theory and Harmonic analysis; they include parts of functional analysis, integration theory...
• №105
• 1,91 МБ
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## Choquet G. Lectures on Analysis. Vol. 2: Representation Theory

• djvu
W. A. Benjamin, 1976. — 333 p. Modern analysts use a great variety of basic tools, many of which are common to analysts in several branches. I have tried, during a one semester graduate course in Princeton, to present some of those tools that I found useful in Potential theory, Probability theory and Harmonic analysis; they include parts of functional analysis, integration theory...
• №106
• 1,38 МБ
• добавлен
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## Choquet G. Lectures on Analysis. Vol. III: Infinite Dimensional Measures and Problem Solutions

• djvu
W. A. Benjamin, 1976. — 338 p. Modern analysts use a great variety of basic tools, many of which are common to analysts in several branches. I have tried, during a one semester graduate course in Princeton, to present some of those tools that I found useful in Potential theory, Probability theory and Harmonic analysis; they include parts of functional analysis, integration theory...
• №107
• 1,47 МБ
• добавлен
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## Ciarlet P.G. Linear and Nonlinear Functional Analysis with Applications

• djvu
Piladelphia: SIAM, 2013. - 849p. This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features...
• №108
• 9,54 МБ
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## Çınlar Erhan, Vanderbei Robert J. Real and Convex Analysis

• pdf
New York: Springer Science+Business Media, 2013. — 161 p. This book is intended to serve as a first course in analysis for scientists and engineers. It can be used either at the advanced undergraduate level or as part of the curriculum in a graduate program. We have taught from preliminary drafts of the book for several years. The book is built around metric spaces. In the...
• №109
• 1,68 МБ
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## Cobzas S. Functional Analysis in Asymmetric Normed Spaces

• pdf
Springer Basel, 2013. — 232 p. — (Frontiers in Mathematics). — ISBN: 3034804776, 9783034804783 An asymmetric norm is a positive definite sublinear functional p on a real vector space X. The topology generated by the asymmetric norm p is translation invariant so that the addition is continuous, but the asymmetry of the norm implies that the multiplication by scalars is...
• №110
• 2,12 МБ
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## Cohen D.W. An Introduction to Hilbert Space and Quantum Logic

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Springer, 1989, 149 pages. Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of...
• №111
• 10,97 МБ
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## Cohen G.L. A Course in Modern Analysis and its Applications

• pdf
Cambridge University Press, 2003. - 348 pages. Designed for one-semester courses at the senior undergraduate level, this book is written for mathematics students and teachers, as well as others needing to learn mathematical analysis for engineering, physics, biology or finance. Nominal divisions between pure and applied mathematics have been merged to provide easier access....
• №112
• 1,72 МБ
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## Cohn D.L. Measure Theory

• djvu
Birkhauser, 1980. — 384 Pages. "The author aims to present 'a straightforward treatment of the part of measure theory necessary for analysis and probability' assuming only basic knowledge of analysis and topology.Each chapter includes numerous well-chosen exercises, varying from very routine practice problems to important extensions and developments of the theory; for the...
• №113
• 3,42 МБ
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## Colombeau J.F. Elementary Introduction to New Generalized Functions

• djvu
North-Holland Publishing, 1985. - 282 pages. In our previous book "New Generalized Functions and Multiplication of Distributions" North-Holland Math. Studies 84, 1984 (referred to below as "N.G.F.") we introduced "new generalized functions" in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. Our aim in this...
• №114
• 1,45 МБ
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## Conway J.B. A Course in Functional Analysis

• djvu
Springer-Verlag, 1985. — 404 pages. This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author...
• №115
• 3,50 МБ
• дата добавления неизвестна
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## Conway J.B. A Course in Functional Analysis (Graduate Texts in Mathematics)

• pdf
Springer, 2nd edition, 1997. — 400 pages. An introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author...
• №116
• 2,30 МБ
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## Cooper J.B. Saks spaces and applications to functional analysis

• djvu
North-Holland Publishing, 1978. — 335 p. The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated. The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related,...
• №117
• 984,61 КБ
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## Cornulier Y., de la Harpe P. Metric Geometry of Locally Compact Groups

• pdf
European Mathematical Society, 2016. — 245 p. — (EMS Tracts in Mathematics 25) — ISBN: 303719166X The main aim of this book is the study of locally compact groups from a geometric perspective, with an emphasis on appropriate metrics that can be defined on them. The approach has been successful for finitely generated groups, and can favourably be extended to locally compact...
• №118
• 1,79 МБ
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## Costabile F.A. Modern Umbral Calculus: An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory

• pdf
Boston: de Gruyter, 2019. — 266 p. The Umbral Calculus was described for the first time by John Blissard in the 1850’s in a form that we call “Classical”. After a short phase of success, the Umbral Calculus was largely rejected by the mathematics community due to the “lack of rigor”. In the late 1960s the theory, worked out by Gian Carlo Rota and his co-workers, gave a completely...
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## Costara C., Popa D. Exercises in Functional Analysis

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Springer, 2003. — 455 p. — ISBN 1402015607. The understanding of results and notions for a student in mathematics requires solving exercises. The exercises are also meant to test the reader's understanding of the text material, and to enhance the skill in doing calculations. This book is written with these three things in mind. It is a collection of more than 450 exercises in...
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## Costara C., Popa D. Exercises in Functional Analysis

• djvu
Springer, 2003. - 451 pages. The understanding of results and notions for a student in mathematics requires solving exercises. The exercises are also meant to test the reader's understanding of the text material, and to enhance the skill in doing calculations. This book is written with these three things in mind. It is a collection of more than 450 exercises in Functional...
• №121
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## Cotlar M., Cignoli R. An introduction to functional analysis

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North-Holland, 1974. — 596 p. This English edition differs considerably from the two-volume Spanish edition. In fact, the chapters on spectral theory and Fourier transform were completely rewritten, and a chapter on integration, as well as several other less extensive sections were added, while the chapter on unbounded operators was left out. The first edition was largely written...
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## Curtain R., Pritchard A.J. Functional Analysis in Modern Applied Mathematics

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Academic Press, 1977. — 348 pages. SIAM Review: This is an abstract book written in a modern, up to date style at about the second year graduate level, which seeks to bring the unifying principles of functional analysis to bear on diverse problems in applied mathematics. It is addressed to students and researchers in applied mathematics and the theoretical sciences. The...
• №123
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## Czerwik S. Functional Equations and Inequalities in Several Variables

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Book. World Scientific Publishing Co. Pte. Ltd., 2002. — 410 p. This book combines the classical theory and examples as well as recent most results in the subject. Functional Equations and Inequalities in Linear Spaces. Ulam-Hyers-Rassias Stability of Functional Equations. Functional Equations in Set-Valued Functions.
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## Da Prato G., Kunstmann P.C., Weis L., Lasiecka I., Lunardi A., Schnaubelt R. Functional Analytic Methods for Evolution Equations

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B.: Springer, 2004. - 474p. This book consist of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic...
• №125
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## Dales H.G. et al. Introduction to Banach algebras, operators, and harmonic analysis

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Cambridge University Press, 2003. — 336 p. This work has arisen from lecture courses given by the authors on important topics within functional analysis. The authors, who are all leading researchers, give introductions to their subjects at a level ideal for beginning graduate students, and others interested in the subject. The collection has been carefully edited so as to form a...
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## Dales H.G., Dashiell Jr.F.K, Lau A.T.-M., Strauss D. Banach Spaces of Continuous Functions as Dual Spaces

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Springer International Publishing, Switzerland, 2016. — 286 p. — (CMS Books in Mathematics) — ISBN-10: 3319323474 This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many...
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## Davies E.B. Spectral Theory

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Department of Mathematics King’s College (London), 2004. - 137 pages. Contents Preface Summary of Results from Operator Theory Banach Spaces Bounded Linear Operators A Functional Calculus Topologies on Banach Spaces Lp Spaces Compact linear Operators Hilbert-Schmidt and Trace Class Operators Bases of Banach Spaces Unconditional Bases Approximation by...
• №128
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## Davies E.B. Spectral Theory and Differential Operators

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Cambridge University Press, 1995. - 192 pages. In this book, Davies introduces the reader to the theory of partial differential operators, up to the spectral theorem for bounded linear operators on Banach spaces. He also describes the theory of Fourier transforms and distributions as far as is needed to analyze the spectrum of any constant coefficient partial differential...
• №129
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## Davis M. Applied nonstandard analysis

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Wiley, 1977 — 196 p. Geared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques of nonstandard analysis at the outset from a single, powerful construction; then, beginning with a nonstandard construction of the real number system, it...
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## De Grande-De Kimpe N., Kakol J., Perez-Garcia C. p-adic Functional Analysis

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Boca Raton: CRC Press, 1999. — 351 p. A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean valued complete fields. It explores spaces of...
• №131
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## Debnath L., Mikusinski P. Introduction to Hilbert Spaces with Applications

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Academic Press, 1990. — 508 pages. — ISBN: 0122084357 This book provides the reader with a systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis with diverse applications to differential and integral equations. The Hilbert space formalism is used to develop the foundation of quantum mechanics and the Hilbert space methods are...
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## Debnath L., Mikusinski P. Introduction to Hilbert Spaces with Applications

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Academic Press, 1990. — 508 pages. Functional analysis is one of the central areas of modern mathematics, and the theory of Hilbert spaces is the core around which functional analysis has developed. Hilbert spaces have a rich geometric structure because they are endowed with an inner product which allows the introduction of the concept of orthogonality of vectors. We believe...
• №133
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## Deimling K. Nonlinear Functional Analysis

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Sрringer, 1985. - 450 pages. This graduate-level text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. Topics include degree mappings for infinite dimensional spaces, the inverse function theory, the implicit function theory, Newton's...
• №134
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## Deitmar A., Echterhoff S. Principles of Harmonic Analysis

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Second Edition. — Spinger, 2014. — 330 p. — ISBN 978-3-319-05791-0. This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then...
• №135
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## Demeter C. Fourier Restriction, Decoupling, and Applications

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Cambridge University Press, 2020. — 350 p. — (Cambridge Studies in Advanced Mathematics, 184). — ISBN 978-1-108-49970-5. The last fifteen years have seen a flurry of exciting developments in Fourier restriction theory, leading to significant new applications in diverse fields. This timely text brings the reader from the classical results to state-of-the-art advances in multilinear...
• №136
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## Demkowicz L., Oden J.T. Textbooks in Mathematics Applied Functional Analysis

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3rd ed. — Chapman and Hall/CRC, 2018. — 633 p. — (Textbooks in Mathematics). — ISBN 1498761143, 9781498761147, 9781498761154, 1498761151. Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science....
• №137
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## DeVito C.L. Functional Analysis

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Academic Press, 1978 — 175 p. Functional analysis, partly because of its many applications, has become a very popular mathematical discipline. My own lectures on the subject have been attended by applied mathematicians, probabilists, classical and numerical analysts, and even an algebraic topologist. This book grew out of my attempts to present the material in a way that was...
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## Diening L., Harjulehto P., Hästö P., Ruzicka M. Lebesgue and Sobolev Spaces with Variable Exponents

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Springer, 2011. - 518 pages. The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible...
• №139
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## Diestel J. Geometry of Banach Spaces

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Springer, 1975. — 289 p. — Series: Lecture Notes in Mathematics (Book 485) OCR ISBN-10: 3540074023 ISBN-13: 978-3540074021 These notes were the subject of lectures given at Kent State University during the 1973-74 academic year. At that time, it was already clear that the geometry of Banach spaces (in the form of convexity and smoothness type considerations) would play a...
• №140
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## Dieudonne J. History of Functional Analysis

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Amsterdam: North-Holland publishing company. - 1981. - 316 p. (North-Holland mathematics studies) One may give many definitions of "Functional Analysis. Its name might suggest that it contains all parts of mathematics which deal with functions, but that would practically mean all mathematical Analysis. We shall adopt a narrower definition: for us, it will be the study of...
• №141
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## Dineen S. Complex analysis in locally convex spaces

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North-Holland Publishing, 1981. — 498 p. The main purpose of this book, based on a course at Universidade Federal do Rio de Janeiro during the summer of 1978, was to provide an introduction to modern infinite dimensional complex analysis, or infinite dimensional holomorphy as it is commonly called, for the graduate student and research mathematician. Since we were more interested...
• №142
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## Dineen S. Complex Analysis of Infinite Dimensional Spaces

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Springer, 1999. — 550 p. This book considers basic questions connected with, and arising from, the locally convex space structures that may be placed on the space of holomorphic functions over a locally convex space. The first three chapters introduce the basic properties of polynomials and holomorphic functions over locally convex spaces. These are followed by two chapters...
• №143
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## Donoghue W.F. Distributions and Fourier Transforms

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Springer, 1969. — 327 p. In this book I try to give a readable introduction to the modern theory of the Fourier transform and to show some interesting applications of that theory in higher analysis. The book is directed to students having only a moderate preparation in real and complex analysis. More exactly, I suppose the reader to be familiar with the elements of real variables...
• №144
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## Douglas R.G., Krantz S.G., Sawyer E.T., Treil S., Wick B.D. (eds.) The Corona Problem: Connections Between Operator Theory, Function Theory, and Geometry

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New York: Springer, 2014. — 235 p. The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians....
• №145
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## Dragomir S.S. Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces

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Springer, 2019. — 134 p. — (SpringerBriefs in Mathematics). — ISBN 978 3030174581. The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary mathematics, with...
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## Edmunds D., Evans D. Spectral Theory and Differential Operators

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2nd. ed. - Oxford: Oxford University Press, 2018. - 609 p. - (Oxford Mathematical Monographs). - ISBN 0198812051. This book is an updated version of the classic 1987 monograph "Spectral Theory and Differential Operators". The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems...
• №147
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## Edwards R.E. Functional analysis: Theory and applications

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Holt, Rinehart and Winston, 1965. — 791 p. n this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance...
• №148
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## Eidelman Y., Milman V., Tsolomitis A. Functional analysis: An introduction

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American Mathematical Society, 2004. — 339 p. This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach...
• №149
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## Einsiedler M., Ward T. Functional Analysis, Spectral Theory, and Applications

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New York: Springer, 2017. — 626 p. This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property...
• №150
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## Elin M., Reich S., Shoikhet D. Numerical Range of Holomorphic Mappings and Applications

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Springer, 2019. — 238 p. — ISBN 978-3-030-05019-1. This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed densely defined linear operators...
• №151
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## Emel'yanov E.Y. Non-spectral asymptotic analysis of one-parameter operator semigroups

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Birkhauser, 2007. — 180 p. In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of one-parameter operator semigroups in Banach spaces. This concerns in particular Markov semigroups in L1-spaces, motivated by applications to probability theory and dynamical systems. Recently...
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## Fabian M. et al. Functional analysis and infinite dimensional geometry

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Springer, 2001. — 462 p. This book introduces the reader to the basic principles of functional analysis theory that are close to nonlinear analysis and topology. The presentation is self-contained, including many folklore results, and the proofs are accessible to students with the usual background in real analysis and topology. Several results are published here for the first time...
• №153
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## Fabian M., Habala P., Hajek P., Montesinos V., Zizler V. Banach Space Theory: The Basis for Linear and Nonlinear Analysis

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Springer, 2010. - 822 pages. Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory,...
• №154
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## Farenick D. Fundamentals of Functional Analysis

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New York: Springer, 2016. — 455 p. This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. The text begins with a self-contained and highly efficient introduction to topology and measure theory, which focuses on the essential notions required...
• №155
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## Farmakis I., Moskowitz M. Fixed Point Theorems and Their Applications

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Singapore: World Scientific, 2013. - 247p. This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests....
• №156
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## Fleming, R.J., Jamison J.E. Isometries in Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two

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CRC Press, 2007. — 248 p. A continuation of the authors’ previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where the first volume left off, the book begins with a chapter on the Banach–Stone property. The authors...
• №157
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## Fleming, R.J., Jamison J.E. Isometries on Banach Spaces: Function Spaces

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CRC Press, 2002. — 208 p. Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric space...
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## Folland G.B. Harmonic Analysis in Phase Space

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Princeton University Press, 1989. — 283 p. This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it...
• №159
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## Folland G.B. Real Analysis: Modern Techniques and Their Applications

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2 edition. — Wiley, 1999. — 408 p. ISBN-10: 0471317160 ISBN-13: 978-0471317166 An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of...
• №160
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## Folland G.B. Real Analysis: Modern Techniques and Their Applications

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Wiley-Interscience, 1984. — 368 p. This book covers the subject matter that is central to mathematical analysis: measure and integration theory, some point set topology, and rudiments of functional analysis. Also, a number of other topics are developed to illustrate the uses of this core material in important areas of mathematics and to introduce readers to more advanced...
• №161
• 6,92 МБ
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## Fonda A. The Kurzweil-Henstock Integral for Undergraduates: A Promenade Along the Marvelous Theory of Integration

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Springer, 2018. — 227 p. — (Compact Textbooks inMathematics). — ISBN 978-3-319-95320-5. This beginners' course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral. The integral is indeed more general than Lebesgue's in RN, but its construction is rather simple, since it makes use of Riemann sums which, being geometrically...
• №162
• 3,24 МБ
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## Fonseca I., Gangbo W. Degree theory in analysis and applications

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Clarendon Press, 1995. — 221 p. In recent years the need to extend the notion of degree to nonsmooth functions has been triggered by developments in nonlinear analysis and some of its applications. This new study relates several approaches to degree theory for continuous functions and incorporates newly obtained results for Sobolev functions. These results are put to use in the...
• №163
• 2,41 МБ
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## Fraczek M.S. Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations

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Springer International Publishing AG, 2017. — 363 p. — (Lecture Notes in Mathematics 2139) — ISBN: 3319512943. In recent years the application of the transfer operator method in the study of Selberg zeta functions and the spectral theory of hyperbolic spaces has made significant progress, in both analytical investigations and numerical investigations. We consider transfer...
• №164
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## Friedlander F.G., Joshi M. Introduction to the Theory of Distributions

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Cambridge: Cambridge University Press, 1999. — 183 p. Every physicist and mathematician uses distributions (sometimes called generalized functions), albeit often unknowingly. From its origins in the Dirac delta `function', distribution theory continues to influence many research areas from quantum mechanics to partial differential equations, but has also grown into an important...
• №165
• 919,68 КБ
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## Friedman A. Foundations of Modern Analysis

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Dover Publications, 1982. — 251 p. — Series: Dover Books on Mathematics Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis....
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## Gal S.G. Overconvergence in Complex Approximation

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New York: Springer, 2013. — 206 p. This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are presented. The main focus is on results for...
• №167
• 1,67 МБ
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## Gal S.G., Sabadini I. Quaternionic Approximation: With Application to Slice Regular Functions

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Springer, 2019. — 228 p. — (Frontiers in Mathematics). — ISBN 978-3-030-10664-5. This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in this...
• №168
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## Gallier J., Quaintance J. Aspects of Harmonic Analysis and Representation Theory

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University of Pennsylvania (Dept. of Computer and Information Science), 2019. — 764 p. The question that motivated writing this book is: What is the Fourier transform ? We were quite surprised by how involved the answer is, and how much mathematics is needed to answer it, from measure theory, integration theory, some functional analysis, to some representation theory. The main...
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## Garling D.J.H. Inequalities: A Journey into Linear Analysis

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Cambridge University Press, 2007. - 346 Pages. Contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. The book begins with Cauchy's inequality and ends with Grothendieck's inequality, in between one finds the Loomis-Whitney inequality, maximal inequalities, inequalities of Hardy and of Hilbert, hypercontractive and logarithmic...
• №170
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## Garnett J. Bounded Analytic Functions

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Springer, 2006. — 463 p. — ISBN: 0387336214, 1441922164, 9780387497631 This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between...
• №171
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## Garrett P. Modern Analysis of Automorphic Forms By Example, Volume 1

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Cambridge University Press, 2018. — 408 p. — (Cambridge Studies in Advanced Mathematics: 173). — ISBN 978-1-107-15400-1. This is Volume 1 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms....
• №172
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## Garrett P. Modern Analysis of Automorphic Forms By Example, Volume 2

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Cambridge University Press, 2018. — 367 p. — (Cambridge Studies in Advanced Mathematics: 174). — ISBN 978-1-108-47384-2. This is Volume 2 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms....
• №173
• 6,19 МБ
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## Georgiev S., Zennir K. Functional Analysis with Applications

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De Gruyter, 2019. — 406 p. — ISBN 978-3-11-065772-2. This book on functional analysis covers all the basics of the subject (normed, Banach and Hilbert spaces, Lebesgue integration and spaces, linear operators and functionals, compact and self-adjoint operators, small parameters, fixed point theory) with a strong focus on examples, exercises and practical problems, thus making it...
• №174
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## Gil' Michael I. Operator Functions and Operator Equations

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World Scientific Publishing, 2018. — 250 p. — ISBN 978-981-3221-26-0. This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both...
• №175
• 2,76 МБ
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## Giles J.R. Introduction to the analysis of normed linear spaces

• djvu
Cambridge University Press, 2000. — 296 p. This text is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. It aims at providing some insight into basic abstract analysis which is now the contextual language of much modern mathematics. Although it is assumed that the student will have familiarity with elementary real and complex...
• №176
• 1,70 МБ
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## Gill T.L., Zachary W.W. Functional Analysis and the Feynman Operator Calculus

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Springer International Publishing, Switzerland, 2016. — 370 p. — ISBN 3319275933 This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last...
• №177
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## Giovanny Leoni. A first course in Sobolev spaces

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2009. American Mathematical Society - 626 pages Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without...
• №178
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## Goffman C., Pedrick G. First Course in Functional Analysis

• djvu
Prentice-Hall Inc., 1965. — 295 p. Portions of this book have been used by the authors in beginning graduate courses at Purdue University during the past several years. Our view is that analysis itself is basic and that the abstract theories to which it leads are primarily of interest as tools which may be used in treating problems in analysis. This includes the theories of...
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## Gohberg I., Kac M. (eds.) Topics in Functional Analysis: Essays Dedicated to M.G.Krein on the Occasion of His 70th Birthday

• djvu
New York: Academic Press, 1979. - 420 p. Contents: DeBranges, L. and Trutt, D. Quantum Cesaro operators. Case, K. M. Inverse scattering, orthogonal polynomials, and linear estimation. Dym, H. and Kravitsky, N. On recovering the mass distribution of a string from its spectral function. Gohberg, I., Kaashoek, M. A., and Rodman, L. Spectral analysis of families of operator...
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## Gohberg I., Sakhnovich L.A. (eds.) Matrix and Operator Valued Functions

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Basel: Birkhäuser, 1994. - 240 p. This book is dedicated to the memory of an outstanding mathematician and personality, Vladimir Petrovich Potapov, who made important contributions to and exerted considerable influence in the areas of operator theory, complex analysis and their points of juncture. The book commences with insightful biographical material, and then presents a...
• №181
• 5,05 МБ
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## Gorenflo R., Kilbas A.A., Mainardi F., Rogosin S.V. (auth.) Mittag-Leffler Functions, Related Topics and Applications: Theory and Applications

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Springer-Verlag Berlin Heidelberg, 2014. — 443 p. — (Springer Monographs in Mathematics). — ISBN: 9783662439296, 9783662439302. As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific...
• №182
• 3,64 МБ
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## Graf U. Introduction to Hyperfunctions and Their Integral Transforms: An Applied and Computational Approach

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Birkhäuser, 2010. - 432 pages. ISBN: 3034604076 This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analytic properties is introduced and...
• №183
• 2,36 МБ
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## Grafakos L. Modern Fourier Analysis

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Third edition. — Springer, 2014. — 636 p. — ISBN 978-1-4939-1229-2. This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness...
• №184
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## Grafakos L., Modern Fourier Analysis

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N.-Y., Springer Science+Business Media, LLC 2009. - 521p. Вторая часть учебника повышенной сложности (первая - "Классический анализ Фурье" издана в той же серии, составляя гл. 1-5. "Chapters 1–5 in the first volume contain Lebesgue spaces, Lorentz spaces and. nterpolation, maximal functions, Fourier transforms and distributions, an introduction. to Fourier analysis on the...
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• 4,21 МБ
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## Graham C.C., McGehee O.C. Essays in commutative harmonic analysis

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Springer, 1979. — 485 p. This book considers various spaces and algebras made up of functions, measures, and other objects-situated always on one or another locally compact abelian group, and studied in the light of the Fourier transform. The emphasis is on the objects themselves, and on the structure-in-detail of the spaces and algebras. A mathematician needs to know only a...
• №186
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## Groenewegen G.L.M., van Rooij A.C.M. Spaces of Continuous Functions

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New York: Atlantis Press, 2016. - 183 p. The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can...
• №187
• 6,03 МБ
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## Grosche C. Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae

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Singapore: World Scientific Publishing Company, 2013. - 380p. In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral....
• №188
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## Guo D., Cho Y.J., Zhu J. Partial Ordering Methods In Nonlinear Problems

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N.-Y.: Nova Science Publishers, 2004. - 352p. The usual method used in studying nonlinear problems such as topological method, variational method and others are generally only suited to the nonlinear problems with continuity and compactness. However, a lots of the problems appeared in theory and applications have no continuity and compactness, For example, differential...
• №189
• 12,81 МБ
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## Gupur G. Functional Analysis Methods for Reliability Models

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Springer Basel – 2011, 285 pages ISBN: 3034801009, 9783034801003 The main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models. Understanding the concept of reliability is of key importance – schedule delays, inconvenience, customer dissatisfaction, and loss of prestige and even weakening of...
• №190
• 2,82 МБ
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## Gustafson K. Antieigenvalue Analysis: With Applications To Numerical Analysis, Wavelets, Statistics, Quantum Mechanics, Finance And Optimization

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Singapore: World Scientific, 2012. - 260p. Karl Gustafson is the creator of the theory of antieigenvalue analysis. Its applications spread through fields as diverse as numerical analysis, wavelets, statistics, quantum mechanics, and finance. Antieigenvalue analysis, with its operator trigonometry, is a unifying language which enables new and deeper geometrical understanding of...
• №191
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## Hadjisavvas N. Komlósi S., Schaible S. (Eds.) Handbook of Generalized Convexity and Generalized Monotonicity

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Springer, 2005. — 683 p. — (Nonconvex Optimization and Its Applications 76). — ISBN 0387232559. Various generalizations of the classical concept of a convex function have been introduced, especially during the second half of the 20th century. Generalized convex functions are the many nonconvex functions which share at least one of the valuable properties of convex functions. Apart...
• №192
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## Halmos P.R. A Hilbert Space Problem Book

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New York: Springer, 1982. — 392 p. This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending...
• №193
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## Halmos P.R. A Hilbert Space Problem Book

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Springer, 1982. — 387 p. — ISBN 0-387-90685-1. This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or...
• №194
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## Halmos P.R. Finite-Dimensional Vector Spaces

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Springer, 1987. — 205 p. — ISBN 0-387-90093-4 The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other "modern" textbooks; it is as unconventional as one...
• №195
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## Halmos P.R. Finite-Dimensional Vector Spaces

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2nd Edition. — Mineola, New York, USA: Dover Publications, Inc., 2017. — 83 p. — (Dover Books on Mathematics). — ISBN-13 978-0-486-81486-5. A fine example of a great mathematician's intellect and mathematical style, this classic on linear algebra is widely cited in the literature. The treatment is an ideal supplement to many traditional linear algebra texts and is accessible to...
• №196
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## Halmos P.R. Finite-Dimensional Vector Spaces

• djvu
Springer, 1993. — 212 p. — (Undergraduate Texts in Mathematics). — ISBN 978-1-4612-6389-0. The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other...
• №197
• 2,82 МБ
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## Halmos P.R. Introduction to Hilbert Space: And the Theory of Spectral Multiplicity

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New York: Chelsea Publishing Company, 1951. - 114 p. A clear, readable introductory treatment of Hilbert Space. The multiplicity theory of continuous spectra is treated, for the first time in English, in full generality.
• №198
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## Hans Wilhelm Alt. Linear Functional Analysis: An Application-Oriented Introduction

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Springer Berlin Heidelberg, 2016. — 448 p. — ISBN: 1447172795, 9781447172796 This book gives an introduction to Linear Functional Analysis, a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many...
• №199
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## Hansen V.L. Fundamental Concepts in Modern Analysis

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World Scientific Publishing Company, 1999. - 236 pages. Many advanced mathematical disciplines, such as dynamical systems, calculus of variations, differential geometry and the theory of Lie groups, have a common foundation in general topology and calculus in normed vector spaces. In this book, mathematically inclined engineering students are offered an opportunity to go into...
• №200
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## Harjulehto P., Hästö P. Orlicz spaces and Generalized Orlicz spaces

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Final draft . — University of Helsinki, 2019. — 172 p. This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-functions. Results from classical functional analysis are presented in detail and new...
• №201
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## Haroske D., Runst T., Schmeisser H.-J. (eds.) Function spaces, differential operators and nonlinear analysis

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Birkhauser, 2003. — 488 p. This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series...
• №202
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## Hassel A. (ed.) Special program on spectral and scattering theory: surveys in analysis and operator theory

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Australian National University, 2002. — 209 p. This volume contains survey articles based on lecture series given by the authors at the Australian National University between July 2001 and June 2002. All but one were given in the seminar series of the Special Program on Spectral and Scattering Theory which was held at ANU from July to December, 2001. The exception is the article...
• №203
• 1,75 МБ
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## Hassler W. Geometric Integration Theory

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Princeton University Press, 1957. - 387 с. В монографии известного американского математика излагается геометрическая теория интегрирования по ориентированным многообразиям в многомерных пространствах. Книга рассчитана на математиков — специалистов по функциональному анализу и топологии; студентов старших курсов и аспирантов-математиков, специализирующихся в соответствующих...
• №204
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## Hata M. Problems and Solutions in Real Analysis

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2nd Edition. — Hackensack, London, USA, UK: World Scientific Publishing Co. Pte. Ltd., 2017. — 376 p. — (Series on Number Theory and Its Applications 14). — ISBN 9813142812. This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the...
• №205
• 18,30 МБ
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## Hatami H., Hatami P., Lovett S. Higher-order Fourier Analysis and Applications

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Б.М., б.и., 2018. — 137 p. The purpose of this text is to provide an introduction to the ﬁeld of higher-order Fourier analysis with an emphasis on its applications to theoretical computer science. Higher-order Fourier analysis is an extension of the classical Fourier analysis. It was initiated by the seminal work of Gowers on a new proof for Szemerédi’s theorem, and has been...
• №206
• 904,02 КБ
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## Hayman W.K., Lingham E.F. Research Problems in Function Theory

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15th. Ed. — Springer, 2019. — viii, 284 p. — (Problem Books in Mathematics). — ISBN 978-3-030-25164-2, 978-3-030-25165-9. True PDF In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on...
• №207
• 1,65 МБ
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## Hebey. Nonlinear analysis on manifolds Sobolev spaces and inequalities

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2000. American Mathematical Society - 304 pages This volume offers an expanded version of lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds. "Several surprising phenomena appear when studying Sobolev spaces on manifolds," according to the author. "Questions that are elementary for Euclidean space become challenging and give rise to...
• №208
• 5,22 МБ
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## Helein F. Harmonic Maps, Conservation Laws and Moving Frames

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Издательство Cambridge University Press, 2002, -290 pp. Harmonic maps between Riemannian manifolds provide a rich display of both differential geometric and analytic phenomena. These aspects are inextricably intertwined — a source of undiminishing fascination. The contemplation of the atlas of an airline company always offers us something puzzling: the trajectories of the...
• №209
• 1,44 МБ
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## Helffer B. Spectral Theory and its Applications

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Cambridge University Press, 2013. — 260 p. — ISBN: 110703230X Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non...
• №210
• 3,99 МБ
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## Helgason S. The Radon Transform

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New York: Springer, 1999. — 203 p. The first edition of this book has been out of print for some time and I have decided to follow the publisher's kind suggestion to prepare a new edition. Many examples of the explicit inversion formulas and range theorems have been added, and the group-theoretic viewpoint emphasized. For example, the integral geometric viewpoint of the Poisson...
• №211
• 18,55 МБ
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## Helgason S. Topics in harmonic analysis on homogeneous spaces

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Birkhauser, 1981. — 155 p. Concentrating on complete simply connected two-dimensional manifolds with constant curvature, Topics in Harmonic Analysis on Homogeneous Spaces is a brief and elementary presentation of the subject. Treating the results of recent work in this highly active field, the author offers numerous proofs illustrating harmonic analysis on symmetric spaces. This...
• №212
• 657,82 КБ
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## Hille E. Methods in classical and functional analysis

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Addison Wesley Publishing, 1972. — 294 p. The book was originally planned as an elementary introduction to functional analysis, but in working out the guiding ideas I soon found that my program took in only part of what nowadays goes under the title of functional analysis. On the other hand, applications to analysis were stressed and unvarnished classical analysis was handed out...
• №213
• 7,99 МБ
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## Hille E., Phillips R.S. Functional Analysis and Semi-groups

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American Mathematical Society, 1957. - 819 Pages. Each Part of the book starts with a Summary, each chapter with an Orientation. The chapters are divided into sections and the sections, except for orientations, are grouped into paragraphs. Cross references are normally to sections, rarely to paragraphs. section 3.10 is the tenth section in chapter III; it belongs to §2 which is...
• №214
• 8,32 МБ
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## Hiriart-Urruty J.-B., Lemaréchal C. Fundamentals of Convex Analysis

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Berlin: Springer, 2004. — 267 p. This book is an abridged version of the two volumes "Convex Analysis and Minimization Algorithms I and II" (Grundlehren der mathematischen Wissenschaften Vol. 305 and 306). It presents an introduction to the basic concepts in convex analysis and a study of convex minimization problems (with an emphasis on numerical algorithms). The "backbone" of...
• №215
• 20,43 МБ
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## Hirsch F., Lacombe G. Elements of functional analysis

• djvu
Springer, 1999. — 412 p. This book arose from a course taught for several years at the Univer­ sity of Evry-Val d'Essonne. It is meant primarily for graduate students in mathematics. To make it into a useful tool, appropriate to their knowl­ edge level, prerequisites have been reduced to a minimum: essentially, basic concepts of topology of metric spaces and in particular of...
• №216
• 6,65 МБ
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## Hoffman K. Banach spaces of analytic functions 1962

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Author: Hoffman,Kenneth. Subject: NATURAL SCIENCES; Mathematics; Analysis. Publisher: Prentice Hall Inc. Language: English. Call number: 226. A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic...
• №217
• 4,50 МБ
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## Holmes R.B. Geometric Functional Analysis and Its Applications

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Springer, 1975. - 246 pages. Some of the theoretical highlights of the book are the Banach space theorems associated with the names of Dixmier, Krein, James, Smulian, Bishop-Phelps, Brondsted-Rockafellar, and Bessaga-Pelczynski. Prior to these (and others) we establish to two most important principles of geometric functional analysis: the extended Krein-Milman theorem and the...
• №218
• 21,00 МБ
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## Hong D., Wang J., Gardner R. Real Analysis with an Introduction to Wavelets

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Academic Press, 2004. - 392 pages. An in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many...
• №219
• 1,77 МБ
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## Hong D., Wang J., Gardner R. Real Analysis with an Introduction to Wavelets

• pdf
Academic Press – 2004, 392 pages ISBN: 0123548616, 9780123548610 An in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and...
• №220
• 2,01 МБ
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## Hoskins R. Delta Functions: Introduction to Generalised Functions

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Woodhead Publishing, 2009. — 280 pages. — Second edition. — ISBN: 1904275397 Delta Functions has now been updated, restructured and modernised into a Second Edition, to answer specific difficulties typically found by students encountering delta functions for the first time. In particular, the treatment of the Laplace transform has been revised with this in mind. The chapter on...
• №221
• 19,19 МБ
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## Howes N.R. Modern Analysis and Topology

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Springer, 1995. — 472 pages. The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. The reader should have taken an advanced calculus course and an introductory topology course. It is intended that a subset of the book could be used for an upper-level undergraduate course whereas much...
• №222
• 27,52 МБ
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## Hu S.-T. Elements of Real Analysis

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San Francisco: Holden-Day. – 1967. – 378 p. The object of the present book is to provide a text for a one-year course, essentially following the recommendations of the Committee on the Undergraduate Program in Mathematics of the Mathematical Association of America. The seven chapters cover most of the basic material listed in the first seven paragraphs of the CUPM...
• №223
• 2,86 МБ
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## Hunter J.K., Nachtergaele B. Applied Analysis

• djvu
University of California at Davis, 2000. - 445 Pages. This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigour. The text is accessible to students from a wide variety of...
• №224
• 2,28 МБ
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## Hunter J.K., Nachtergaele B. Applied Analysis, Corrected

• djvu
World Scientific Publishing Co Pte Ltd., 2005. — 456 p. — 3rd ed. — ISBN: 9810241917, 9789810241919 This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor. The text is accessible...
• №225
• 2,69 МБ
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## Ihara Y. On Congruence Monodromy Problems

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Tokyo: University of Tokyo, 2008. — 236 p. Contents : On Congruence Monodromy Preface to Volume 1 Preface to Volume 2 The group $\Gamma$ Detailed study Introduction to Part 1 The $G_{\mathfrak{p}}$ Full $G_{\mathfrak{p}}$ Introduction to Part 3A The canonical Unique existence Some properties Examples of $\Gamma.$ Elliptic modular Non-abelian classfields Supplements Bibliography...
• №226
• 21,54 МБ
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## Isakov V. (ed.) Sobolev spaces in mathematics III: Applications in Mathematical Physics

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Springer, 2009. — 359 p. The mathematical works of S.L.Sobolev were strongly motivated by particular problems coming from applications. In his celebrated book Applications of Functional Analysis in Mathematical Physics, 1950 and other works, S.Sobolev introduced general methods that turned out to be very influential in the study of mathematical physics in the second half of the...
• №227
• 3,64 МБ
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## Jacob B. Linear Functions and Matrix Theory

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Springer, 1995. — 340 p. — (Textbooks in Mathematical Sciences). — ISBN 3540780556. Courses that study vectors and elementary matrix theory and introduce linear transformations have proliferated greatly in recent years. Most of these courses are taught at the undergraduate level as part of, or adjacent to, the second-year calculus sequence. Although many students will ultimately...
• №228
• 8,96 МБ
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## Jarnicki M., Pflug P. Separately Analytic Functions

• pdf
European Mathematical Society, 2011. — 307 p. — (EMS Tracts in Mathematics 16) — ISBN: 3037190981 The story of separately holomorphic functions began about 100 years ago. During the second half of the 19th century, it became known that a separately continuous function is not necessarily continuous as a function of all variables. At the beginning of the 20th century, the study of...
• №229
• 3,08 МБ
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## Jerbashian A.M. Functions of alpha-bounded type in the half-plane

• djvu
New York: Springer, 2005. — 213 p. This is a unique book related to the theory of functions of a-bounded type in the half-plane of the complex plane, which is constructed by application of the Liouville integro-differential operator. In addition, the book contains improvements of several results such as the Phragmen-Lindelof Principle and Nevanlinna Factorization in the...
• №230
• 2,82 МБ
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## Jones F. Lebesgue Integration on Euclidean Space

• djvu
Jones & Bartlett Learning, 2001. - 588 Pages. Lebesgue Integration on Euclidean Space contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. Throughout the text, many exercises are incorporated, enabling students to apply new ideas immediately. Jones strives to present a slow introduction to Lebesgue integration by dealing with...
• №231
• 4,14 МБ
• дата добавления неизвестна
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## Jost J. Postmodern Analysis

• pdf
Springer, 2002. - 367 pages. This is an introduction to advanced analysis at the beginning graduate level that blends a modern presentation with concrete examples and applications, in particular in the areas of calculus of variations and partial differential equations. The book does not strive for abstraction for its own sake, but tries rather to impart a working knowledge of...
• №232
• 62,60 МБ
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## Jung S.-M. Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

• pdf
New York: Springer, 2011. — 377 p. This textbook at the advanced undergraduate/graduate level will complement the books of D.H. Hyers, G. Isac, and Th.M. Rassias ( Birkhauser 1998) and of S. Czerwik (2002) by integrating and presenting the primary developments applying to almost all the classical results of the Hyers-Ulam-Rassias stability. The self-contained text is presented in...
• №233
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## Kadets M.I., Kadets V.M. Series in Banach spaces. (Ряды в пространствах Банаха)

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Kadets, M.I. ; Kadets, V.M. Series in Banach spaces. Conditional and unconditional convergence / Birkhauser, , 1997 (Operator Theory Advances and Applications, vol. 94), 156 pp. Известно, что для бесконечных сумм коммутативный закон уже не верен: сумма может меняться при перестановке слагаемых. Монография посвящена вопросам, связанным с этим эффектом. Содержание: Chapter 1....
• №234
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## Kadets V., Martín M., Merí J., Pérez A. Spear Operators Between Banach Spaces

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Springer, 2018. — 174 p. — (Lecture Notes in Mathematics 2205). — ISBN 978-3-319-71332-8. This monograph is devoted to the study of spear operators, that is, bounded linear operators $G$ between Banach spaces $X$ and $Y$ satisfying that for every other bounded linear operator $T:X\longrightarrow Y$ there exists a modulus-one scalar $\omega$ such that$\|G + \omega\,T\|=1+ \|T\|$....
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## Kadets V.A Course in Functional Analysis and Measure Theory

• pdf
Springer, 2018. — 553 p. — (Universitext). — ISBN 3319920030. Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and...
• №236
• 6,09 МБ
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## Kakol J., Kubis W., López-Pellicer M. Descriptive Topology in Selected Topics of Functional Analysis

• pdf
Springer, 2011. - 496 Pages. A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology. As the first monograph to approach the topic of topological vector spaces from the perspective of descriptive topology, this work provides also new insights into the connections between the topological properties of...
• №237
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## Kalmenov Tynysbek Sh.,‎ Nursultanov Erlan D.,‎ Ruzhansky Michael V.,‎ Sadybekov Makhmud A. (eds.) Functional Analysis in Interdisciplinary Applications

• pdf
Springer, 2017. — 485 p. — (Springer Proceedings in Mathematics & Statistics). — ISBN 10 3319670522, 13 978-3319670522. This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in...
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## Kalmenov Tynysbek Sh.,‎ Nursultanov Erlan D.,‎ Ruzhansky Michael V.,‎ Sadybekov Makhmud A. (eds.) Functional Analysis in Interdisciplinary Applications

• epub
Springer, 2017. — 986 p. — (Springer Proceedings in Mathematics & Statistics). — ISBN 10 3319670522, 13 978-3319670522. This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in...
• №239
• 8,35 МБ
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## Kalton N., Saab E., Montgomery-Smith S. Interaction between functional analysis, harmonic analysis, and probability

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Marcel Dekker, 1996. — 488 p. Based on a conference on the interaction between functional analysis, harmonic analysis and probability theory, this work offers discussions of each distinct field, and integrates points common to each. It examines developments in Fourier analysis, interpolation theory, Banach space theory, probability, probability in Banach spaces, and more.
• №240
• 3,61 МБ
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## Kasevan S. Topics in functional analysis and applications

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New Age International, 2003. — 280 p. Present day research in partial differential equations uses a lot of functional analytic techniques. This book treats these methods concisely, in one volume, at the graduate level. It introduces distribution theory (which is fundamental to the study of partial differential equations) and Sobolev spaces (the natural setting in which to find...
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## Katsaras A.K., Schikhof W.H., van Hamme L. p-adic functional analysis

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Marcel Dekker, 2001. — 337 p. — (Lecture Notes in Pure and Applied Mathematics 233). — ISBN 0824706110. This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical...
• №242
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## Katzourakis N., Varvaruca E. An Illustrative Introduction to Modern Analysis

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CRC Press, 2018. — 558 p. — ISBN 978-1-138-71827-2. Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis. The themes treated include Metric Spaces, General Topology, Continuity, Completeness, Compactness, Measure...
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## Kesavan S. Functional Analysis

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Hindustan Book Agency, 2009. - 281 pages. Contents: Preliminaries. Normed linear spaces. Hahn Banach theorems. Baire's theorem and applications. Weak and weak topologies. Lp spaces. Hilbert spaces. Compact operators. Bibliography. Index. The material presented in this book is suited for a first course in Functional Analysis which can be followed by masters students. While...
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## Kesavan S. Functional Analysis

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Hindustan Book Agency, India, 2009 p. — 283 p. — (Texts and Readings in Mathematics 52). — ISBN-10 9380250622. The material presented in this book is suited for a first course in Functional Analysis which can be followed by masters students. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of various theorems via...
• №245
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## Kesavan S. Nonlinear Functional Analysis: A First Course

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New Delhi: Hindustan Book Agency, 2004. — 188 p. Contents : Front Matter Differential Calculus on Normed Linear Spaces The Brouwer Degree The Leray - Schauder Degree Bifurcation Theory Critical Points of Functionals Back Matter
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## Khamsi M.A., Kirk W.A. An Introduction to Metric Spaces and Fixed Point Theory

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John Wiley & Sons, 2001. — 320 pages. ISBN: 0471418250 Presents up-to-date Banach space results. Features an extensive bibliography for outside reading. Provides detailed exercises that elucidate more introductory material. This text is primarily an introduction to metric spaces and fixed point theory. It is intended to be especially useful to those who might not have...
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## Kharazishvili A. Strange Functions in Real Analysis

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3rd ed. — Chapman and Hall/CRC, 2018. — 441 p. — (Pure and Applied Mathematics). — ISBN 1498773141, 9781498773140. Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more detailed explanations of the presented material....
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## Kharazishvili A.B. Strange Functions in Real Analysis

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Second Edition. — Chapman and Hall/CRC, 2006. — 409 Pages. Weierstrass and Blancmange nowhere differentiable functions, Lebesgue integrable functions with everywhere divergent Fourier series, and various nonintegrable Lebesgue measurable functions. While dubbed strange or "pathological," these functions are ubiquitous throughout mathematics and play an important role in...
• №249
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## Kim S-h., Koberda T., Mj M. Flexibility of Group Actions on the Circle

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Springer, 2019. — 140 p. — (Lecture Notes in Mathematics 2231). — ISBN 978-3-030-02854-1. In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups. The authors give general combination theorems for indiscrete isometry groups of hyperbolic space which apply to Fuchsian and limit groups. An abundance of integer-valued...
• №250
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## Kirillov A.A., Gvishiani A.D. Theorems and Problems in Functional Analysis

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Springer, 1982. — 355 p. Even the simplest mathematical abstraction of the phenomena of reality­ the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model...
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## Klartag Bo’az, Milman Emanuel (eds.) Geometric Aspects of Functional Analysis

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Israel Seminar (GAFA) 2014–2016. — Springer, 2017. — 366 p. As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in...
• №252
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## Klein S. A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

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Springer, 2018. — 326 p. — (Lecture Notes in Mathematics 2229). — ISBN 978-3-030-01275-5. This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such...
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## Knopp K. Problem Book in the Theory of Functions. Volume 1

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Dover, 1948. - 134 Pages. The problems of the first five chapters concern material treated in the first volume of the same author's Theory of Functions (referred to as KI; the references are to the translation by Bagemihl, Dover Publications, Inc., 1945.) Familiarity with the first two chapters of Caratheodory's Conformal Representation (Cambridge University Press, 1932,...
• №254
• 825,01 КБ
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## Knopp K. Theory of Functions Volume 1: Part One elements of the General Theory of Analytic Functions

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Dover Publications, 1945. - 170 p. This is the second volume in the five volume set THE THEORY OF FUNCTIONS prepared by Konrad Knopp, a mathematician of international renown. It may be used separately, or with other volumes in the series, or with any other text on theory of functions. It is unusual in its field in being concise, clear, easy to follow, yet complete and...
• №255
• 5,31 МБ
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## Kobayashi M. (Ed.) Applications of Wavelets: Case Studies

• djvu
Society for Industrial and Applied Mathematics, 1987. — 158 p. — ISBN: 0898714168, 9780898714166 This collection of independent case studies demonstrates how wavelet techniques have been used to solve open problems and develop insight into the nature of the systems under study. Each case begins with a description of the problem and points to the specific properties of wavelets...
• №256
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## Koethe G. Topological vector spaces

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Köthe, G. Topological vector spaces I. (English) [B] Berlin-Heidelberg-New York: Springer Verlag 1969. XV, 456 p. (1969) Классический учебник по теории топологических векторных пространств, написанный одним из создателей этой науки. Содержит следующие разделы: Chapter One "Fundamentals of General Topology" (Topological spaces, Nets and filters, Compact spaces and sets, Metric...
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## Kolmogorov A.N., Fomin S.V. Introductory Real Analysis

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Dover Publications, 1975. — 416 p. — (Dover Books on Mathematics). — ISBN-10 0486612260; ISBN-13 978-0486612263. Self-contained and comprehensive, this elementary introduction to real and functional analysis is readily accessible to those with background in advanced calculus. It covers basic concepts and introductory principles in set theory, metric spaces, topological and linear...
• №258
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## Kolmogorov A.N., Fomin S.V. Introductory Real Analysis

• djvu
Dover Publications, 1975. — 416 pages. — Series: Dover Books on Mathematics OCR . ISBN-10: 0486612260 ISBN-13: 978-0486612263. Self-contained and comprehensive, this elementary introduction to real and functional analysis is readily accessible to those with background in advanced calculus. It covers basic concepts and introductory principles in set theory, metric spaces,...
• №259
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## Kolmogorov A.N., Fomin S.V. Measure, Lebesgue Integrals and Hilbert Space

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Academic Press, 1961. — 147 p. OCR . Contents. Measure Theory . Measure of Plane Sets. Systems of Sets. Measures on Semirings. Continuation of a Measure from a Semiring to the Minimal Ring over it. Continuations of Jordan Measures. Countable Additivity. General Problem of Continuation of Measures. Lebesgue Continuation of Measure, Defined on a Semiring with a Unit....
• №260
• 1,00 МБ
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## Komornik V. Lectures on Functional Analysis and the Lebesgue Integral

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Springer, 2015. — 417 p. — (Universitext). — ISBN: 9781447168102 This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads naturally to the basic notions and theorems. Most...
• №261
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## Komornik Vilmos. Lectures on Functional Analysis and the Lebesgue Integral

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Springer, 2016. — 417 p. This book is based on lectures given by the author at the University of Strasbourg. Functional analysis is presented ﬁrst, in a nontraditional way: we try to generalize some elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads us to the basic notions and theorems in a natural way. The results are illustrated in the...
• №262
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## Koosis P. Introduction to Hp Spases

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2 ed. Cambridge University Press. 1998. 300 p. The first edition of this well-known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete point of view (in the unit circle and the half plane). This second edition retains many of the features found in the first — detailed computation, an emphasis on methods — but greatly...
• №263
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## Krantz S.G. A Guide to Functional Analysis

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Mathematical Association of America, 2013. — 150 pages. ISBN-10: 0883853574 Functional analysis is an abstract and powerful modern theory that occupies a central role in mathematics. This book provides a quick but precise introduction to the subject, covering everything that a beginning graduate student needs to know. The subject has its roots in the theory of...
• №264
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## Kreyszig E. Introductory Functional Analysis with Applications

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Publisher: Wiley; 1 edition (February 23, 1989), Paperback: 704 pages, ISBN-10: 0471504599. ISBN-13: 978-0471504597. Provides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of...
• №265
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## Kuchment P., Semenov E. (Eds.) Functional Analysis and Geometry: Selim Grigorievich Krein Centennial

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American Mathematical Society, 2019. — 314 p. — (Contemporary Mathematics 733). — ISBN 9781470437824. This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734. Krein was a major contributor to functional analysis, operator theory, partial differential...
• №266
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## Kuczma M. Functional Equations in a Single Variable

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Warszawa, 1968. — 385 pages. Although the greatest mathematicians, such as N. H. Abel, A. Cauchy, L. Euler, B. Riemann and others, have concerned themselves with functional equations, there existed - until recently - no exhaustive monograph of the subject. The articles by S. Pincherle in Enzyklopadie der Mathematischen Wissenschaften and the booklet by E. Picard, in which only...
• №267
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## Kuczma M., Choczewski B., Ger R. Iterative Functional Equations

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Cambridge: Cambridge University Press, 1990. - 654p. A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in research literature, making this an essential volume for all those working in functional equations and in such areas as dynamical systems and chaos, to which the theory is...
• №268
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## Kurdila A.J., Zabarankin M. Convex functional analysis

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Birkhauser, 2005. — 245 p. This volume is dedicated to the fundamentals of convex functional analysis. It presents those aspects of functional analysis that are extensively used in various applications to mechanics and control theory. The purpose of the text is essentially two-fold. On the one hand, a bare minimum of the theory required to understand the principles of functional,...
• №269
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## Kurzweil J. Integration between the Lebesgue Integral and the Henstock-Kurzweil Integral: Its Relation to Local Convex Vector Spaces

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World Scientific Publishing Co. Pte. Ltd., 2002. — 146 p. — (Real Analysis 08) — ISBN 981-238-046-9. The approach to integration by Riemannian sums was rehabilitated in the fifties of the 20th century by a new interpretation of the concept of a "fine" or "6-fme" partition of the integration interval. It is well known that both the Lebesgue integration and the Henstock-Kurzweil...
• №270
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## Kusraev A.G. and Kutateladze S.S. Boolean Valued Analysis: Selected Topics

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Монография. Владикавказ, Южный математический институт, 2014, iv+400с. The book treats Boolean valued analysis. This term signifies the technique of studying properties of an arbitrary mathematical object by means of comparison between its representations in two different set-theoretic models whose construction utilizes principally distinct Boolean algebras. As these...
• №271
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## Kutateladze S.S. Fundamentals of Functional Analysis

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Textbook. — Dordrecht: Kluwer Academic Publishers, 1995. — xii+275 p. This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multi-normed and uniform spaces, the Riesz–Dunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for...
• №272
• 2,24 МБ
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## Kuttler K. Basic Analysis

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Rington Press, 2001. - 556 pages. A study of basic analysis and related topics. It presents important theorems in measure and integration, an introduction to functional analysis, the big advanced calculus theorems about the Frechet derivative including the implicit function theorem, and other topics including fixed point theorems and applications, the Brouwer degree, and an...
• №273
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## Kwon Soonsik, Yoon Hyewon. Lebesgue Integral Theory

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Unpublished, 2016. — 69 p. This note is based on the lecture given by Soonsik Kwon.
• №274
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## Kycia R.A., Ulan M., Schneider E. (Eds.) Nonlinear PDEs, Their Geometry, and Applications: Proceedings of the Wisła 18 Summer School

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Springer, 2019. — 289 p. — (Tutorials, Schools, and Workshops in the Mathematical Sciences). — ISBN 978-3-030-17030-1. This volume presents lectures given at the Summer School Wisła 18: Nonlinear PDEs, Their Geometry, and Applications, which took place from August 20 - 30th, 2018 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures in the first...
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## Laczkovich M., Sós V.T. Real Analysis: Functions of Several Variables, and Applications

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5th Edition. — Springer, New York, 2015. — 485 p. — (Undergraduate Texts in Mathematics) — ISBN 978-1-4939-2765-4. Analysis forms an essential basis of mathematics as a whole, as well as of the natural sciences, and more and more of the social sciences too. The theory of analysis (differentiation and integration) was created—after Galileo’s insight—for the purposes of describing...
• №276
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## Laczkovich M., Sós V.T. Real Analysis: Series, Functions of Several Variables, and Applications

• epub
Springer Science+Business Media LLC, 2017. — 412 p. — (Undergraduate Texts in Mathematics 03) — ISBN 1493973673. In this volume we discuss the differentiation and integration of functions of several variables, infinite numerical series, and sequences and series of functions. We place strong emphasis on presenting applications and interpretations of the results, both in mathematics...
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## Laczkovich M., Sós V.T. Real Analysis: Series, Functions of Several Variables, and Applications

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Springer Science+Business Media LLC, 2017. — 396 p. — (Undergraduate Texts in Mathematics 03) — ISBN 1493973673. In this volume we discuss the differentiation and integration of functions of several variables, infinite numerical series, and sequences and series of functions. We place strong emphasis on presenting applications and interpretations of the results, both in mathematics...
• №278
• 6,08 МБ
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## Lang J., Edmunds D. Eigenvalues, embeddings and generalised trigonometric functions

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B: Springer, 2011. - 220p. The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according...
• №279
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## Lang S. Real Analysis

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2 ed. — Addison-Wesley, 1983. — 552 p. This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly...
• №280
• 4,68 МБ
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## Lang S. Real and Functional Analysis

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3 ed. — New York: Springer, 1993. — 596 p. This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Analysis. I assume that the reader is acquainted with notions of uniform convergence and the like. In this third edition, I...
• №281
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## Lang S. Real and Functional Analysis

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3 ed. 1993 Springer-Verlag New York, Inc. 596 p. This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Analysis. I assume that the reader is acquainted with notions of uniform convergence and the like. In this...
• №282
• 3,65 МБ
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## Larsen R. Functional analysis: An introduction

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Marcel Dekker, 1973. — 506 p. The exposition in the following pages is based on lectures I gave to second year mathematics graduate students at Wesleyan University during the academic years 1970 - 71 and 1971 - 72. The intent of the lectures was to provide the student with an introduction to functional analysis that not only presented the basic notions, theorems, and techniques of...
• №283
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## Lascoux A. Polynomials

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Paris: Alain Lascoux, 2013. - 354p. We give eight linear bases of the ring of polynomials in n indeterminates : Schubert polynomials, Grothendieck polynomials, flag elementary/complete functions, Demazure characters (key polynomials) for types A, B, C, D, Macdonald polynomials. All these bases are triangular in the basis of monomials, with respect to appropriate orders. We...
• №284
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## Lax P.D. Functional analysis

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Wiley, 2002. — 597 p. Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable,...
• №285
• 3,65 МБ
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## Lebedev L.P., Vorovich I.I. Functional Analysis in Mechanics

• djvu
Springer, 2002. — 256 Pages. This book covers functional analysis and its applications to continuum mechanics. The mathematical material is treated in a non-abstract manner and is fully illuminated by the underlying mechanical ideas. The presentation is concise but complete, and is intended for specialists in continuum mechanics who wish to understand the mathematical...
• №286
• 1,23 МБ
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## Lebedev L.P., Vorovich I.I. Functional Analysis in Mechanics

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Springer, 2002. — 256 Pages. This book covers functional analysis and its applications to continuum mechanics. The mathematical material is treated in a non-abstract manner and is fully illuminated by the underlying mechanical ideas. The presentation is concise but complete, and is intended for specialists in continuum mechanics who wish to understand the mathematical...
• №287
• 11,66 МБ
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## Lebedev L.P., Vorovich I.I., Cloud M.J. Functional Analysis in Mechanics

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2nd edition. — Springer Science+Business Media, LLC, 2013. 316 p. — ISSN 1439-7382, 978-1-4614-5867-8, 978-1-4614-5868-5 (eBook). This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical...
• №288
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## Lebedev L.P., Vorovich I.I., Gladwell G.M. L. Functional Analysis: Applications in Mechanics and Inverse Problems

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2nd edition, Kluwer Academic Publishers, New York, 2003, 247 pages This is a book for people who want to use functional analysis to justify approximate methods in Mechanics and Inverse Problems. It provides such researchers with the tools they need without having to assimilate or skip through concepts they do not need. For the applied mathematician, the essential difficulty...
• №289
• 12,79 МБ
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## Lemmens B., Nussbaum R. Nonlinear Perron-Frobenius Theory

• djvu
Cambridge: Cambridge University Press, 2012. — 334 p. In the past several decades the classical Perron-Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron-Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of...
• №290
• 6,76 МБ
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## Letellier Emmanuel. Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras (Lecture notes in mathematics)

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Springer, 2005. - 171 p. ISBN: 3540240209. The Fourier transforms of invariant functions on finite reductive Lie algebras are due to T.A. Springer (1976) in connection with the geometry of nilpotent orbits. In this book the author studies Fourier transforms using Deligne-Lusztig induction and the Lie algebra version of Lusztig’s character sheaves theory. He conjectures a...
• №291
• 1,13 МБ
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## Li D.,Queffélec H. Introduction to Banach Spaces Analysis and Probability. Vol. 1

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Cambridge: Cambridge University Press, 2017. — 462 p. This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate...
• №292
• 4,37 МБ
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## Li D.,Queffélec H. Introduction to Banach Spaces Analysis and Probability. Vol. 2

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Cambridge: Cambridge University Press, 2017. — 406 p. This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate...
• №293
• 4,62 МБ
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## Liang Y., Chen W., Cai W. Hausdorff Calculus: Applications to Fractal Systems

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De Gruyter, 2019. — 150 p. — (Fractional Calculus in Applied Sciences and Engineering, 6). — ISBN 978-3-11-060692-8. This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear...
• №294
• 5,68 МБ
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## Liflyand E., Iosevich A. Decay of the Fourier Transform

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Springer, 2014. — 226 p. — ISBN 978-3-0348-0624-4. The Plancherel formula says that the L^2 norm of the function is equal to the L^2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L^2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond...
• №295
• 2,29 МБ
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## Lighthill M.J. Introduction to Fourier analysis and generalized functions

• djvu
Cambridge University Press, 1958. — 87 p. This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical...
• №296
• 548,63 КБ
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## Limaye Balmohan V. Linear Functional Analysis for Scientists and Engineers

• pdf
Springer, 2016. — 269 p. — ISBN 9811009708, 9789811009709 This book provides a concise and meticulous introduction to functional analysis. Since the topic draws heavily on the interplay between the algebraic structure of a linear space and the distance structure of a metric space, functional analysis is increasingly gaining the attention of not only mathematicians but also...
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## Lions J.L., Magenes E. Non-Homogeneous Boundary Value Problems and Applications: Vol. 1

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Berlin: Springer, 1972. — 374 p. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By "non-homogeneous boundary value problem" we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space...
• №298
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## Lions J.L., Magenes E. Non-Homogeneous Boundary Value Problems and Applications: Volume II

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Berlin: Springer, 1972. — 255 p. In this second volume, we continue at first the study of non­ homogeneous boundary value problems for particular classes of evolu­ tion equations. 1 In Chapter 4 , we study parabolic operators by the method of Agranovitch-Vishik [lJ; this is step (i) (Introduction to Volume I, Section 4), i.e. the study of regularity. The next steps: (ii)...
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## Lions J.L., Magenes E. Non-Homogeneous Boundary Value Problems and Applications: Volume III

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Berlin: Springer, 1973. — 323 p. Contents : Front Matter Scalar and Vector Ultra-Distributions Elliptic Boundary Value Problems in Spaces of Distributions and Ultra-Distributions Evolution Equations in Spaces of Distributions and Ultra-Distributions Parabolic Boundary Value Problems in Spaces of Ultra-Distributions Evolution Equations of the Second Order in t and of Schroedinger...
• №300
• 16,21 МБ
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## Liu F.C. Real Analysis

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Oxford: Oxford University Press, 2016. — 318 p. — (Oxford Graduate Texts in Mathematics). — ISBN 9780192507655. Real Analysis is indispensable for in-depth understanding and effective application of methods of modern analysis. This concise and friendly book is written for early graduate students of mathematics or of related disciplines hoping to learn the basics of Real Analysis...
• №301
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## Loeb P.A. Real Analysis

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Springer International Publishing, Switzerland, 2016. — 278 p. — ISBN: 9783319307428 This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core...
• №302
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## Lopez-Gomez J. Spectral Theory and Nonlinear Functional Analysis

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Chapman and Hall/CRC, 2001. — 280 Pages. This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure of the set of zeroes of a general class of nonlinear operators. It features the construction of an optimal algebraic/analytic invariant for calculating the Leray-Schauder degree, new...
• №303
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## Lunardi A. Interpolation Theory

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3rd Edition. — Pisa, Italia: Edizioni Della Normale, Scuola Normale Superiore, 2018. — 208 p. — (Appunti Lecture Notes 16). — ISBN 8876426396. This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999. In the mathematical literature there are many good books on the subject, but...
• №304
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## MacCluer B.D. Elementary Functional Analysis

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Springer, 2009. - 208 pages. This nicely written manuscript takes a gentler approach than other functional analysis graduate texts, and includes an improved approach along with a better choice of topics. The concise treatment makes this ideal for a one-semester course. The exercises in this manuscript are numerous and of a very high quality. Interesting historical tidbits are...
• №305
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## Mackevicius V. Integral and Measure

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New York: Wiley-ISTE, 2014. — 302 p. This textbook is devoted to integration, an important part of calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop practical skills of...
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## Maddox I.J. Elements of functional analysis

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Cambridge University Press, 1970. — 214 p. The second edition of this successful textbook, first published in 1970, retains the aims of the first, namely to provide a truly introductory course in functional analysis, but the opportunity has been taken to add more detail and worked examples. The main changes are complete revisons of the work on convex sets, metric and topological...
• №307
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## Makarov B., Podkorytov A. Real Analysis: Measures, Integrals and Applications

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Springer, 2013. — 772 p. — ISBN: 1447151216 Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature. This book provides a detailed introduction to Lebesgue measure...
• №308
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## Maksudov F., Sadirkhanov R., Hajiyev T. Selected lectures on nonlinear analysis

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Synergy Advisory Group, 2010. — 347 p. This book is written in a corresponding manner that allows an opportunity to use more materials from different fields of mathematics in a brief format. To be exact, the purpose of this book is to present researchers and graduate students with a state-of-the-art survey of some most active areas of nonlinear analysis. The text of the book is...
• №309
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## Marcoux Laurent W. An Introduction to Functional Analysis

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Unpublished, 2013. — 136 p. The following is a set of class notes for the PMath 453/653 course I taught at the University of Waterloo in 2008. As mentioned on the front page, they are a work in progress, and - this being the \ rst edition" - they are replete with typos. A student should approach these notes with the same caution he or she would approach buzz saws; they can be very...
• №310
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## Markin M. Elementary Functional Analysis

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De Gruyter, 2018. — 332 p. — (De Gruyter Textbook). — ISBN 978-3-11-061391-9. While there is a plethora of excellent, but mostly "tell-it-all'' books on the subject, this one is intended to take a unique place in what today seems to be a still wide open niche for an introductory text on the basics of functional analysis to be taught within the existing constraints of the standard,...
• №311
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## Markin M. Real Analysis: Measure and Integration

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De Gruyter, 2019. — 358 p. — ISBN 978-3-11-060099-5. The philosophy of the book, which makes it quite distinct from many existing texts on the subject, is based on treating the concepts of measure and integration starting with the most general abstract setting and then introducing and studying the Lebesgue measure and integration on the real line as an important particular case....
• №312
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## Mattila P. Fourier Analysis and Hausdorff Dimension

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Cambridge: Cambridge University Press, 2015. — 452 p. During the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book describes part of that development, concentrating on the relationship between the Fourier transform and Hausdorff dimension. The main topics concern applications of the Fourier transform to geometric...
• №313
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## Maz'ya V. (ed.) Sobolev spaces in mathematics I: Sobolev Type Inequalities

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Springer, 2009. — 395 p. This volume is dedicated to the centenary of the outstanding mathematician of the XXth century Sergey Sobolev and, in a sense, to his celebrated work On a theorem of functional analysis published in 1938, exactly 70 years ago, where the original Sobolev inequality was proved. This double event is a good case to gather experts for presenting the latest...
• №314
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## Maz'ya V. (ed.) Sobolev spaces in mathematics II: Applications in analysis and partial differential equations

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Springer, 2009. — 404 p. Sobolev spaces become the established and universal language of partial differential equations and mathematical analysis. Among a huge variety of problems where Sobolev spaces are used, the following important topics are in the focus of this volume: boundary value problems in domains with singularities, higher order partial differential equations, local...
• №315
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## McCoy R.A., Kundu S., Jindal V. Function Spaces with Uniform, Fine and Graph Topologies

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New York: Springer, 2018. — 121 p. This book presents a comprehensive account of the theory of spaces of continuous functions under uniform, fine and graph topologies. Besides giving full details of known results, an attempt is made to give generalizations wherever possible, enriching the existing literature. The goal of this monograph is to provide an extensive study of the...
• №316
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## McIntosh A., Portal P. (eds.) Asymptotic geometric analysis, harmonic analysis and related topics

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The Australian National University, 2007. — 139 p. This volume contains the proceedings of the CMA-AMSI research symposium on Asymptotic Geometric Analysis, Harmonic Analysis and Related Topics, organized by Andrew Hassell, Alan McIntosh, Shahar Mendelson, Pierre Portal, and Fyodor Sukochev at Murramarang (NSW) in February 2006. The meeting was sponsored by the Centre for...
• №317
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## Mckean H., Moll V. Elliptic Curves: Function Theory, Geometry, Arithmetic

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Cambridge, UK: Cambridge University Press, 1999. — 297 p. — ISBN 0521658179. The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern...
• №318
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## Megginson R.E. An Introduction to Banach Space Theory

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Springer, 1998. - 615 Pages. Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces. It is sprinkled liberally with examples, historical notes, citations, and original sources, and over 450 exercises...
• №319
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## Meise R., Vogt D. Introduction to functional analysis

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Clarendon Press, 2004. — 447 p. This book was written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces, it proceeds quickly to the central results of the field, including the theorem of Hahn-Banach. The spaces (p Lp (X,(),...
• №320
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## Migórski S., Ochal A., Sofonea M. Nonlinear Inclusions and Hemivariational Inequalities: Models and Analysis of Contact Problems

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Springer, 2013. — 292 p. — (Advances in Mechanics and Mathematics 26). — ISBN 978-1-4614-4231-8. This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific...
• №321
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## Miklavcic M. Applied Functional Analysis and Partial Differential Equations

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World Scientific Publishing, 1999. - 294 pages. ISBN-10: 9810235356 Based on a course taught at Michigan State University, this work offers an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require. The purpose of the course and the book is to give students a rapid and solid research-oriented foundation in areas of...
• №322
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## Milojevic P.S. Nonlinear Functional Analysis

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CRC Press, 1989 — 288 p. Series: Lecture Notes in Pure and Applied Mathematics These proceedings consist of a collection of papers, most of which are based on the lectures presented at the Special Session on Nonlinear Functional Analysis of the Meeting, held at New Jersey Institute of Technology in Newark, New Jersey, on April 25-26, 1987. The papers of C. Viterbo and K....
• №323
• 5,34 МБ
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## Misra O.P., Lavoine J.L. Transform analysis of generalized functions

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North-Holland, 1986. — 347 p. Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series. Included are accounts of applications of the theory of integral...
• №324
• 1,82 МБ
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## Mochizuki K. Spectral and Scattering Theory for Second Order Partial Differential Operators

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CRC Press, Taylor & Francis Group, USA, 2017. — 250 p. — (Monographs and Research Notes in Mathematics) — ISBN 1498756026. The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half...
• №325
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## Moeglin C., Waldspurger J.-L. Spectral decomposition and Eisenstein series: une paraphrase de l'ecriture

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Cambridge: Cambridge University Press, 1995. — 363 p. The decomposition of the space L2 (G(Q)\G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a deep problem at the intersection of number and group theory. Langlands reduced this decomposition to that of the (smaller) spaces of cuspidal automorphic forms for certain subgroups of G. This book...
• №326
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## Morrison T.J. Functional Analysis: An Introduction to Banach Space Theory

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Wiley, 2001. — 377 p. This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader's mathematical maturity...
• №327
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## Müller V. (Ed.) Spectral Theory of Linear Operators: and Spectral Systems in Banach Algebras

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Springer Basel AG, 2003. — 390 p. — (Operator Theory: Advances and Applications 139). — ISBN 978-3-0348-7790-9. This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided...
• №328
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## Müller V. (Ed.) Spectral Theory of Linear Operators: and Spectral Systems in Banach Algebras

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2nd Edition. — Springer Basel AG, 2007. — 444 p. — (Operator Theory: Advances and Applications 139) — ISBN 978-3-7643-8264-3. Spectral theory is an important part of functional analysis. It has numerous applications in many parts of mathematics and physics including matrix theory, function theory, complex analysis, differential and integral equations, control theory and quantum...
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## Müller W., Shin S.W., Templier N. (eds.) Families of Automorphic Forms and the Trace Formula

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New York: Springer, 2016. — 581 p. Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families...
• №330
• 7,20 МБ
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## Müller W., Shin S.W., Templier N. (Eds.) Geometric Aspects of the Trace Formula

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Springer, 2018. — 461 p. — (Simons Symposia). — ISBN 978-3-319-94832-4. The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups. Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss Elmau, Germany, the volume contains...
• №331
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## Muscalu C., Schlag W. Classical and multilinear harmonic analysis. Volume 1

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Cambridge University Press, 2013. — 390 p. — (Cambridge Studies in Advanced Mathematics 137) — ISBN: 0521882451 This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text...
• №332
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## Muscalu C., Schlag W. Classical and multilinear harmonic analysis. Volume 2

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Cambridge University Press, 2013. — 342 p. — (Cambridge Studies in Advanced Mathematics 138) — ISBN: 1107031826 This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for...
• №333
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## Muscat Joseph. Functional Analysis

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Springer, 2014. — 420 p. — ISBN 978-3-319-06727-8. This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to...
• №334
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## Muthukumar T. Basic Functional Analysis

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Unpublished, 2016. — 84 p. An elementary introduction to Functional Analysis.
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• 436,34 КБ
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## N’guérékata G.M. Spectral Theory for Bounded Functions and Applications to Evolution Equations

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New York, USA: Nova Science Publishers, Inc., 2017. — 95 p. — (Mathematics Research Developments). — ISBN 1536121126. One of the central questions in the qualitative theory of difference and differential equations is to find the conditions of existence and asymptotic behavior of bounded solutions. For equations with almost periodic coefficients, the problem goes back to Favard and...
• №336
• 2,14 МБ
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## Nair M.T. Linear Operator Equations: Approximation and Regularization

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World Scientific Publishing, 2009. - 264 pages. Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth...
• №337
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## Nazaikinskii V., Schulze B.-W., Sternin B. The Localization Problem in Index Theory of Elliptic Operators

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Springer Basel, 2014. — 122 p. — (Pseudo-Differential Operators 10) — ISBN: 9783034805100. The book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actually a fundamental localization principle underlying all these...
• №338
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## Nazaikinskii Vladimir, Savin Anton, Sternin Boris. Elliptic theory and noncommutative geometry. Nonlocal elliptic operators

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Birkhauser Verlag AG, 2008. — 223 pages. The book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such operators to topological invariants of the...
• №339
• 1,10 МБ
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## Neisendorfer J.A. Algebraic Methods in Unstable Homotopy Theory

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Cambridge University Press, UK, 2010. — 597 p. — (new mathematical monographs 12) — ISBN-10: 0521760372 The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. The author...
• №340
• 1,87 МБ
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## Nel L. Continuity Theory

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Springer International Publishing, Switzerland, 2016. — 472 p. — ISBN-10: 3319311581. This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and...
• №341
• 7,08 МБ
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## Neumann J. Functional Operators. Volume 1: Measures and Integrals

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Princeton University Press, 1950. - 270 pages. The lectures on "Operator Theory", of which the present volume constitutes the first part, were given in the academic years 1933-34 and 1934-35, at the Institute for Advanced Study. The notes were prepared in these years by Dr. Robert S. Martin and Dr. Charles C. Torrance, respectively. They were multigraphed and distributed by...
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## Ng S.-A. Nonstandard Methods in Functional Analysis: Lectures and Notes

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World Scientific Publishing Company, 2010. - 340 pages. In the early 1960s, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus. Since then, the methodology has found applications in a wide spectrum of areas in mathematics, with particular success in the probability theory and...
• №343
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• дата добавления неизвестна
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## Nickel S. Convex analysis

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University of Kaiserslautern, 1998. — 155 p. Convex analysis is one of the mathematical tools which is used both explicitly and indirectly in many mathematical disciplines. However, there are not so many courses which have convex analysis as the main topic. More often, parts of convex analysis are taught in courses like linear or nonlinear optimization, probability theory,...
• №344
• 709,22 КБ
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## Nievergelt Y. Wavelets Made Easy

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Springer, 2012. - 310 pages. Reprint of the 2001 Edition. На англ языке. Originally published in 1999, Wavelets Made Easy offers a lucid and concise explanation of mathematical wavelets. Written at the level of a first course in calculus and linear algebra, its accessible presentation is designed for undergraduates in a variety of disciplines—computer science, engineering,...
• №345
• 28,86 МБ
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## Nikolski N. Hardy Spaces

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Cambridge University Press, 2019. — 298 p. — (Cambridge Studies in Advanced Mathematics; 179). — ISBN 978-1-107-18454-1. The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing...
• №346
• 14,57 МБ
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## Noguchi J. Analytic Function Theory of Several Variables: Elements of Oka’s Coherence

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New York: Springer, 2016. — 404 p. Is an easily readable and enjoyable text on the classical analytic function theory of several complex variables for new graduate students in mathematics Includes complete proofs of Oka's Three Coherence Theorems, Oka–Cartan's Fundamental Theorem, and Oka's Theorem on Levi's problem for Riemann domains Can easily be used for courses and...
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• 2,29 МБ
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## Novikov I., Semenov E. Haar Series and Linear Operators

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Dordrecht: Kluwer Academic Publishers. – 1977. – 228 p. (Mathematics and Its Applications: Volume 367) In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name. The Haar system is a complete orthonormal system on [0,1] and the Fourier-Haar series for arbitrary continuous function converges uniformly to this function. This volume is devoted to the...
• №348
• 1,82 МБ
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## Oono Y. The Nonlinear World: Conceptual Analysis and Phenomenology

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Springer, 2013. - 311 pages. На англ. языке. The most important characteristic of the world filled with nonlinearity is the existence of scale interference: disparate space–time scales interfere with each other. Thus, the effects of unknowable scales invade the world that we can observe directly. This leads to various peculiar phenomena such as chaos, critical phenomena, and...
• №349
• 3,10 МБ
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## Orlicz W. Linear Functional Analysis

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World Scientific, 1992. - 246 Pages. "Linear Functional Analysis" resulted from a series of lectures Orlicz gave in Beijing, China, 1958. The original edition was published in Chinese in 1963. It contains all the major theorems that would normally appear in a modern text, the results of special interest to the Polish school, and others which are not easily available elsewhere....
• №350
• 3,30 МБ
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## Osborne M.S. Locally Convex Spaces

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Springer, 2014. — 217 p. — (Graduate Texts in Mathematics 269). — ISBN 3319020447. For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory...
• №351
• 1,69 МБ
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## Ovchinnikov S. Functional Analysis: An Introductory Course

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Springer, 2018. — 209 p. — (Universitext). — ISBN 978-3-319-91512-8. This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide...
• №352
• 2,77 МБ
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## Ovchinnikov S. Measure, Integral, Derivative: A Course on Lebesgue’s Theory

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Publisher: Springer; 2013 edition (April 30, 2013), Series: Universitext, Paperback: 146 pages, ISBN-10: 1461471958 ISBN-13: 978-1461471950 This classroom-tested text is intended for a one-semester course in Lebesgue’s theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upper-undergraduate- and lower-graduate-level...
• №353
• 1,22 МБ
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## Papageorgiou N., Winkert P. Applied Nonlinear Functional Analysis: An Introduction

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De Gruyter, 2018. — 621 p. — ISBN 978-3-11-051622-7. The aim of this book is to provide a concise but complete introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. This volume gathers the mathematical background needed in order to conduct research or to deal with...
• №354
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## Pardalos P.M., Georgiev P.G., Srivastava H.M. (eds.) Nonlinear Analysis: Stability, Approximation, and Inequalities

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New York: Springer, 2012. — 897 p. The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications. Bounds of Jensen’s Type Inequality and Eigenvalues of Sturm–Liouville System Quadratic Operators and...
• №355
• 7,22 МБ
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## Pastur L., Figotin A. Spectra of Random and Almost-Periodic Operators

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Springer, 2011. — 587 pages. Series: Grundlehren der mathematischen Wissenschaften (Book 297) ISBN-10: 364274348X ISBN-13: 978-3642743481 The study of the spectra and related characteristics of random and almost periodic operators of various types (Schrödinger, continuous, discrete and more general) is a lively and fascinating field of research lying at the intersection of...
• №356
• 5,55 МБ
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## Pata V. Fixed Point Theorems and Applications

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Springer, 2019. — 171 p. — (UNITEXT 116). — ISBN 978-3-030-19669-1. This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the...
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## Paulsen V.I., Raghupathi M. An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

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Cambridge: Cambridge University Press, 2016. — 192 p. Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing...
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## Pedersen G.K. Analysis now

• djvu
Springer, 1989. — 291 p. Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of...
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## Pedersen M. Functional Analysis in Applied Mathematics and Engineering

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Boca Raton: CRC Press, 1999. — 310 p. — (Studies in Advanced Mathematics, 31). — ISBN 0849371694. Presenting excellent material for a first course on functional analysis , Functional Analysis in Applied Mathematics and Engineering concentrates on material that will be useful to control engineers from the disciplines of electrical, mechanical, and aerospace engineering . This...
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## Penot J.-P. Analysis: From Concepts to Applications

• epub
Springer International Publishing, Switzerland, 2016. — 687 p. — (Universitext). — ISBN-10 3319324098. This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before...
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## Penot J.-P. Analysis: From Concepts to Applications

• pdf
Springer International Publishing, Switzerland, 2016. — 687 p. — (Universitext) — ISBN-10: 3319324098 This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before...
• №362
• 8,38 МБ
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## Pesenson I., Le Gia Q.T., Mayeli A., Mhaskar H., Zhou D.-X. (Eds.) Frames and Other Bases in Abstract and Function Spaces. Volume 1: Novel Methods in Harmonic Analysis

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Springer International Publishing AG, 2017. — 437 p. — (Applied and Numerical Harmonic Analysis) — ISBN 3319555499. The first of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many...
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## Pesenson I., Le Gia Q.T., Mayeli A., Mhaskar H., Zhou D.-X. (Eds.) Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science. Volume 2: Novel Methods in Harmonic Analysis

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Springer International Publishing AG, 2017. — 512 p. — (Applied and Numerical Harmonic Analysis) — ISBN 3319555553. The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many...
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## Pietsch A. History of Banach Spaces and Linear Operators

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Birkhäuser Boston, 2007. - 855 Pages. Named for Banach, who was one of the great mathematicians of the twentieth century, the concept of Banach spaces figures prominently in the study of functional analysis, having applications to integral and differential equations, approximation theory, harmonic analysis, convex geometry, numerical mathematics, analytic complexity, and...
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## Pietsch A., Popa N., Singer I. (editors) Banach Space Theory and its Applications

• djvu
Springer, 1983. - 316 pages. From the 3lst of August to the 5th of September 1981, the Department of Mathematics of INCREST (the National Institute for Scientific and Technical Creation), Bucharest, in collaboration with the Department of Mathematics of the University of Jena, organized the First Romanian-GDR Seminar on Banach Space Theory and its Applications held in...
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## Pons M.A. Real Analysis for the Undergraduate: With an Invitation to Functional Analysis

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Springer, 2014. — 409 p. 43 illus. — ISBN: 9781461496380 This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is...
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## Prodi G. (ed.) Problems in non-linear analysis

• djvu
Springer, 2010. — 576 p. Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 20-29, 1970. Contents: Propriétés Régularisantes De Certains Semigroupes Et Applications H. Brezis Normal Solvability And Existence Theorems For Nonlinear Mappings In Banach Spaces Felix E. Browder Normal Solvability for...
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## Protter M.H. Basic Elements of Real Analysis

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Springer, 1998. - 273 Pages. Book Description From the author of the highly acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one- semester course in real analysis. Many students of mathematics and those students who intend to study any of the physical sciences and computer science need a text that presents the most important...
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## Przeworska-Rolewicz D. Equations in Linear Spaces

• djvu
PWN-Polish Scientific Publishers, 1968. - 353 Pages. Linear operators in linear space. Operators with a finite and semifinite dimensional characteristic. Algebraic and almost algebraic operators. Ф-operators. Determinant theory of Ф-operators. Linear operators in topological space. Linear topological and linear metric space. Continuous linear operators in linear...
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## Pugachev V.S., Sinitsyn I.N. Lectures on Functional Analysis and Applications

• djvu
World Scientific, 1999. — 752 p. This book is intended for those having only a moderate background in mathematics, who need to increase their mathematical knowledge for development in their areas of work and to read the related mathematical literature. The material covered, which includes practically all the information on functional analysis that may be necessary for those...
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