Функциональный анализ

Birkhäuser, 2016. — 364 p. — (Applied and Numerical Harmonic Analysis). — ISBN10: 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...

Springer, 2021. — 657 p. — (Operator Theory: Advances and Applications, 282). — ISBN 978-3-030-51944-5. This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in...

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...

De Gruyter, 2016. — 368 p. — ISBN 978-3-11-042911-4. 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. Calculus of...

Academic Press, 2020. — 160 p. — ISBN 978-0-12-817212-4. Functional Analysis: A Practitioner's Guide to Implementation and Training provides practitioners with the most updated information about applying the wide span of current functional analysis (FA) methodologies geared specifically to applied service settings. The book serves as a self-instructional implementation to a...

Walter de Gruyter GmbH, 2021. — 240 p. — ISBN 978-3-11-072261-1. Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential role in the...

Springer, 2021. — 369 p. — ISBN 978-3-030-77833-0. This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications. Related to the first part, there is an introduction to the content of Linear Bounded Operators...

2nd Edition. — Springer, 2023. — 193 p. — ISBN 978-3-031-13917-8. Written by an author who was at the forefront of developments in multivariable spectral theory during the seventies and the eighties, this book describes the spectral mapping theorem in various settings. In this second edition, the Bluffer's Guide has been revised and expanded, whilst preserving the engaging...

Springer, 2017. — 986 p. — (Springer Proceedings in Mathematics & Statistics). — ISBN10: 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...

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...

Springer, 2021. — 667 p. — (Universitext). — ISBN 978-3-030-80031-4. Mahler measure, a height function for polynomials, is the central theme of this book. It has many interesting properties, obtained by algebraic, analytic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as Lehmer’s Problem (1933) and Boyd’s Conjecture (1981). This...

Springer, 2021. — 438 p. — (Simons Symposia). — ISBN 978-3-030-68505-8. A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative trace formulas in relation to special values of L-functions, integral representations, arithmetic cycles, theta...

Springer International Publishing, Switzerland, 2016. — 687 p. — (Universitext). — ISBN10: 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...

Springer, 2021. — 362 p. — (Springer Optimization and Its Applications, 168). — ISBN 978-3030618865. This edited volume presents state-of-the-art developments in various areas in which Harmonic Analysis is applied. Contributions cover a variety of different topics and problems treated such as structure and optimization in computational harmonic analysis, sampling and...

5th Edition. — Pearson Education, 2023. — 497 p. — ISBN 978-0136853473. Halsey L. Royden's Real Analysis has contributed to educating generations of mathematical analysis students. The 5th Edition of this classic text presents some important updates while presenting the measure theory, integration theory and elements of metric, topological, Hilbert and Banach spaces that a...

Springer Nature Singapore Pte Ltd. 2018. — 594 p. — (Industrial and Applied Mathematics). — ISBN: 9811037248. This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book...

Springer, 2016. — 144 p. — (SpringerBriefs in Mathematics). — ISBN: 3319492373. Periodic Feedback Stabilization for Linear Periodic Evolution Equations This book introduces a number of recent advances regarding periodic feedback stabilization for linear and time periodic evolution equations. First, it presents selected connections between linear quadratic optimal control theory...

Springer, 2021. — 494 p. — (Engineering Applications of Computational Methods, 6). — ISBN 978-9813366428. This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for...

Springer Science, 2013. — 161 p. — (Undergraduate Texts in Mathematics). — ISBN: 978-1-4614-5256-0, 978-1-4614-5257-7. 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...

М.: КноРус, 2013. — 465 с. — (Бакалавриат). — ISBN: 978-5-406-02728-8 Учебное пособие представляет собой элементарный курс функционального анализа (метрические, линейные нормированные, гильбертовы пространства, теория линейных операторов и функционалов, теория линейных уравнений в банаховых пространствах, дифференцирование нелинейных отображений). Большое внимание уделяется...