Beijing Lectures In Harmonic Analysis Am 112 Volume 112

Author : Elias M. Stein
Publisher : Princeton University Press
Page : 435 pages
File Size : 50,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882090

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Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 by Elias M. Stein Pdf

Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R. R. Coifman and Yves Meyer, Robert Fcfferman, Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E. M. Stein, and Stephen Wainger.

Author : Elias M. Stein
Publisher : Unknown
Page : 424 pages
File Size : 42,9 Mb
Release : 1986
Category : Mathematics
ISBN : 0691084181

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Beijing Lectures in Harmonic Analysis by Elias M. Stein Pdf

Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R. R. Coifman and Yves Meyer, Robert Fcfferman, Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E. M. Stein, and Stephen Wainger.

Author : Árpád Bényi,Kasso A. Okoudjou
Publisher : Springer Nature
Page : 177 pages
File Size : 45,9 Mb
Release : 2020-02-22
Category : Mathematics
ISBN : 9781071603321

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Modulation Spaces by Árpád Bényi,Kasso A. Okoudjou Pdf

This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces. By gathering together state-of-the-art developments and previously unexplored applications, readers will be motivated to make effective use of this topic in future research. Because modulation spaces have historically only received a cursory treatment, this book will fill a gap in time-frequency analysis literature, and offer readers a convenient and timely resource. Foundational concepts and definitions in functional, harmonic, and real analysis are reviewed in the first chapter, which is then followed by introducing modulation spaces. The focus then expands to the many valuable applications of modulation spaces, such as linear and multilinear pseudodifferential operators, and dispersive partial differential equations. Because it is almost entirely self-contained, these insights will be accessible to a wide audience of interested readers. Modulation Spaces will be an ideal reference for researchers in time-frequency analysis and nonlinear partial differential equations. It will also appeal to graduate students and seasoned researchers who seek an introduction to the time-frequency analysis of nonlinear dispersive partial differential equations.

Author : Artur Avila,Michael Th. Rassias,Yakov Sinai
Publisher : Springer Nature
Page : 388 pages
File Size : 54,9 Mb
Release : 2022-11-01
Category : Mathematics
ISBN : 9783031053313

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Analysis at Large by Artur Avila,Michael Th. Rassias,Yakov Sinai Pdf

​Analysis at Large is dedicated to Jean Bourgain whose research has deeply influenced the mathematics discipline, particularly in analysis and its interconnections with other fields. In this volume, the contributions made by renowned experts present both research and surveys on a wide spectrum of subjects, each of which pay tribute to a true mathematical pioneer. Examples of topics discussed in this book include Bourgain’s discretized sum-product theorem, his work in nonlinear dispersive equations, the slicing problem by Bourgain, harmonious sets, the joint spectral radius, equidistribution of affine random walks, Cartan covers and doubling Bernstein type inequalities, a weighted Prékopa-Leindler inequality and sumsets with quasicubes, the fractal uncertainty principle for the Walsh-Fourier transform, the continuous formulation of shallow neural networks as Wasserstein-type gradient flows, logarithmic quantum dynamical bounds for arithmetically defined ergodic Schrödinger operators, polynomial equations in subgroups, trace sets of restricted continued fraction semigroups, exponential sums, twisted multiplicativity and moments, the ternary Goldbach problem, as well as the multiplicative group generated by two primes in Z/QZ. It is hoped that this volume will inspire further research in the areas of analysis treated in this book and also provide direction and guidance for upcoming developments in this essential subject of mathematics.

Author : Anonim
Publisher : Unknown
Page : 1186 pages
File Size : 50,6 Mb
Release : 1986
Category : American literature
ISBN : UOM:39015020249101

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The Publishers' Trade List Annual by Anonim Pdf

Author : Ferenc Weisz
Publisher : Birkhäuser
Page : 435 pages
File Size : 44,5 Mb
Release : 2017-12-27
Category : Mathematics
ISBN : 9783319568140

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Convergence and Summability of Fourier Transforms and Hardy Spaces by Ferenc Weisz Pdf

This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known summability methods, such as the Fejér, Riesz, Weierstrass, Abel, Picard, Bessel and Rogosinski summations. Following on the classic books by Bary (1964) and Zygmund (1968), this is the first book that considers strong summability introduced by current methodology. A further unique aspect is that the Lebesgue points are also studied in the theory of multi-dimensional summability. In addition to classical results, results from the past 20-30 years – normally only found in scattered research papers – are also gathered and discussed, offering readers a convenient “one-stop” source to support their work. As such, the book will be useful for researchers, graduate and postgraduate students alike.

Author : Anonim
Publisher : Unknown
Page : 716 pages
File Size : 55,9 Mb
Release : 1989
Category : Mathematics
ISBN : UOM:39076000723135

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Bulletin (new Series) of the American Mathematical Society by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 730 pages
File Size : 40,8 Mb
Release : 1989
Category : Mathematics
ISBN : UOM:49015003188514

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Bulletin of the American Mathematical Society by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 2476 pages
File Size : 51,5 Mb
Release : 1996
Category : American literature
ISBN : STANFORD:36105012308909

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Subject Guide to Books in Print by Anonim Pdf

Author : Rose Arny
Publisher : Unknown
Page : 2306 pages
File Size : 53,5 Mb
Release : 1991
Category : American literature
ISBN : UOM:39015023708319

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Forthcoming Books by Rose Arny Pdf

Author : Anonim
Publisher : Unknown
Page : 2132 pages
File Size : 41,9 Mb
Release : 1994
Category : American literature
ISBN : STANFORD:36105005605253

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Books in Print by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1216 pages
File Size : 55,8 Mb
Release : 1989
Category : Engineering
ISBN : UOM:39015027111882

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Scientific and Technical Books and Serials in Print by Anonim Pdf

Author : Elias M. Stein,Rami Shakarchi
Publisher : Princeton University Press
Page : 326 pages
File Size : 52,6 Mb
Release : 2011-02-11
Category : Mathematics
ISBN : 9781400831234

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Fourier Analysis by Elias M. Stein,Rami Shakarchi Pdf

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

Author : Anonim
Publisher : Unknown
Page : 1404 pages
File Size : 53,7 Mb
Release : 1985
Category : Monographic series
ISBN : STANFORD:36105015640464

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Books in Series by Anonim Pdf

Vols. for 1980- issued in three parts: Series, Authors, and Titles.

Author : Loukas Grafakos
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 42,6 Mb
Release : 2008-09-18
Category : Mathematics
ISBN : 9780387094328

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Classical Fourier Analysis by Loukas Grafakos Pdf

The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online