PDF Search: harmonic analysis

Harmonic Analysis

Harmonic Analysis PDF
Author: Elias M. Stein
Publisher: Princeton University Press
Release Date: 1993-08
Book Size: 33.54 MB
Book Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 695
View: 2534

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Harmonic Analysis

by Elias M. Stein, Harmonic Analysis Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Harmonic Analysis book, This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.



Gaussian Harmonic Analysis

Gaussian Harmonic Analysis PDF
Author: Wilfredo Urbina-Romero
Publisher: Springer
Release Date: 2019-06-21
Book Size: 62.64 MB
Book Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 477
View: 2198

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Gaussian Harmonic Analysis

by Wilfredo Urbina-Romero, Gaussian Harmonic Analysis Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Gaussian Harmonic Analysis book, Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers working in a broad spectrum of areas in analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of real analysis as well as with classical harmonic analysis, including Calderón-Zygmund theory; also some knowledge of basic orthogonal polynomials theory would be convenient. The monograph develops the main topics of classical harmonic analysis (semigroups, covering lemmas, maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books; also an exhaustive bibliography for further reading. Each chapter ends with a section of notes and further results where connections between Gaussian harmonic analysis and other connected fields, points of view and alternative techniques are given. Mathematicians and researchers in several areas will find the breadth and depth of the treatment of the subject highly useful.



Principles Of Harmonic Analysis

Principles of Harmonic Analysis PDF
Author: Anton Deitmar
Publisher: Springer
Release Date: 2014-06-21
Book Size: 44.67 MB
Book Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 332
View: 3769

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Principles Of Harmonic Analysis

by Anton Deitmar, Principles Of Harmonic Analysis Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Principles Of Harmonic Analysis book, 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 applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.



Harmonic Analysis For Engineers And Applied Scientists

Harmonic Analysis for Engineers and Applied Scientists PDF
Author: Gregory S. Chirikjian
Publisher: Courier Dover Publications
Release Date: 2016-07-20
Book Size: 75.89 MB
Book Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 880
View: 7266

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Harmonic Analysis For Engineers And Applied Scientists

by Gregory S. Chirikjian, Harmonic Analysis For Engineers And Applied Scientists Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Harmonic Analysis For Engineers And Applied Scientists book, Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.



Harmonic Analysis And Applications

Harmonic Analysis and Applications PDF
Author: John J. Benedetto
Publisher: CRC Press
Release Date: 2020-12-17
Book Size: 74.25 MB
Book Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 368
View: 3750

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Harmonic Analysis And Applications

by John J. Benedetto, Harmonic Analysis And Applications Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Harmonic Analysis And Applications book, Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In Harmonic Analysis and Applications, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance, usefulness, and the intricacy and simplicity of the subject. This book is about classical harmonic analysis - a textbook suitable for students, and an essay and general reference suitable for mathematicians, physicists, and others who use harmonic analysis. Throughout the book, material is provided for an upper level undergraduate course in harmonic analysis and some of its applications. In addition, the advanced material in Harmonic Analysis and Applications is well-suited for graduate courses. The course is outlined in Prologue I. This course material is excellent, not only for students, but also for scientists, mathematicians, and engineers as a general reference. Chapter 1 covers the Fourier analysis of integrable and square integrable (finite energy) functions on R. Chapter 2 of the text covers distribution theory, emphasizing the theory's useful vantage point for dealing with problems and general concepts from engineering, physics, and mathematics. Chapter 3 deals with Fourier series, including the Fourier analysis of finite and infinite sequences, as well as functions defined on finite intervals. The mathematical presentation, insightful perspectives, and numerous well-chosen examples and exercises in Harmonic Analysis and Applications make this book well worth having in your collection.



Classical Fourier Analysis

Classical Fourier Analysis PDF
Author: Loukas Grafakos
Publisher: Springer Science & Business Media
Release Date: 2008-09-18
Book Size: 53.53 MB
Book Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 492
View: 5036

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Classical Fourier Analysis

by Loukas Grafakos, Classical Fourier Analysis Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Classical Fourier Analysis book, 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



Harmonic Analysis

Harmonic Analysis PDF
Author: Henry Helson
Publisher: Springer
Release Date: 1991-04-25
Book Size: 26.56 MB
Book Format: PDF
Category : Juvenile Nonfiction
Languages : en
Pages : 190
View: 2039

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Harmonic Analysis

by Henry Helson, Harmonic Analysis Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Harmonic Analysis book, The reader is assumed to know the elementary part of complex funCtion theory, general topology, integration, and linear spaces. All the needed information is contained in a usual first-year graduate course on analysis. These prerequisites are modest but essential. To be sure there is a big gap between learning the Banach-Steinhaus theorem, for example, and applying it to a real problem. Filling that gap is one of the objectives of this book. It is a natural objective, because integration theory and functional analysis to a great extent developed in response to the problems of Fourier series! The exposition has been condensed somewhat by relegating proofs of some technical points to the problem sets. Other problems give results that are needed in subsequent sections; and many problems simply present interesting results of the subject that are not otherwise covered. Problems range in difficulty from very simple to very hard. The system of numeration is simple: Sec. 3. 2 is the second section of Chapter 3. The second section of the current chapter is Sec. 2. Formula (3. 2) is the second formula of Sec. 3, of the current chapter unless otherwise mentioned. With pleasure I record the debt to my notes from a course on Real Variables given by R. Salem in 1945. I wish to thank R. Fefferman, Y. Katznelson, and A. 6 Cairbre for sympathetic criti cism of the manuscript. Mr. Carl Harris of the Addison-Wesley Publishing Company has been most helpful in bringing the book to publication.



Harmonic Analysis And Applications

Harmonic Analysis and Applications PDF
Author: Christopher Heil
Publisher: Springer Science & Business Media
Release Date: 2007-08-02
Book Size: 58.19 MB
Book Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 374
View: 4377

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Harmonic Analysis And Applications

by Christopher Heil, Harmonic Analysis And Applications Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Harmonic Analysis And Applications book, This self-contained volume in honor of John J. Benedetto covers a wide range of topics in harmonic analysis and related areas. These include weighted-norm inequalities, frame theory, wavelet theory, time-frequency analysis, and sampling theory. The chapters are clustered by topic to provide authoritative expositions that will be of lasting interest. The original papers collected are written by prominent researchers and professionals in the field. The book pays tribute to John J. Benedetto’s achievements and expresses an appreciation for the mathematical and personal inspiration he has given to so many students, co-authors, and colleagues.



Harmonic Analysis A Comprehensive Course In Analysis Part 3

Harmonic Analysis  A Comprehensive Course in Analysis  Part 3 PDF
Author: Barry Simon
Publisher: American Mathematical Soc.
Release Date: 2015-11-02
Book Size: 30.79 MB
Book Format: PDF, ePub, Mobi
Category : Harmonic analysis
Languages : en
Pages : 759
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Harmonic Analysis A Comprehensive Course In Analysis Part 3

by Barry Simon, Harmonic Analysis A Comprehensive Course In Analysis Part 3 Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Harmonic Analysis A Comprehensive Course In Analysis Part 3 book, A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 3 returns to the themes of Part 1 by discussing pointwise limits (going beyond the usual focus on the Hardy-Littlewood maximal function by including ergodic theorems and martingale convergence), harmonic functions and potential theory, frames and wavelets, spaces (including bounded mean oscillation (BMO)) and, in the final chapter, lots of inequalities, including Sobolev spaces, Calderon-Zygmund estimates, and hypercontractive semigroups.



Harmonic Analysis On Spaces Of Homogeneous Type

Harmonic Analysis on Spaces of Homogeneous Type PDF
Author: Donggao Deng
Publisher: Springer Science & Business Media
Release Date: 2008-11-19
Book Size: 10.90 MB
Book Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 160
View: 224

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Harmonic Analysis On Spaces Of Homogeneous Type

by Donggao Deng, Harmonic Analysis On Spaces Of Homogeneous Type Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Harmonic Analysis On Spaces Of Homogeneous Type book, This book could have been entitled “Analysis and Geometry.” The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure ? and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation. Needless to say, the Fourier transformation does not exist on an arbitrary metric set. This endeavor is not a revolution. It is a continuation of a line of research whichwasinitiated,acenturyago,withtwofundamentalpapersthatIwould like to discuss brie?y. The ?rst paper is the doctoral dissertation of Alfred Haar, which was submitted at to University of Gottingen ̈ in July 1907. At that time it was known that the Fourier series expansion of a continuous function may diverge at a given point. Haar wanted to know if this phenomenon happens for every 2 orthonormal basis of L [0,1]. He answered this question by constructing an orthonormal basis (today known as the Haar basis) with the property that the expansion (in this basis) of any continuous function uniformly converges to that function.



An Introduction To Harmonic Analysis

An Introduction to Harmonic Analysis PDF
Author: Yitzhak Katznelson
Publisher: Cambridge University Press
Release Date: 2004
Book Size: 51.90 MB
Book Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 314
View: 3487

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An Introduction To Harmonic Analysis

by Yitzhak Katznelson, An Introduction To Harmonic Analysis Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download An Introduction To Harmonic Analysis book, Publisher description



Classical And Multilinear Harmonic Analysis

Classical and Multilinear Harmonic Analysis PDF
Author: Camil Muscalu
Publisher: Cambridge University Press
Release Date: 2013-01-31
Book Size: 32.16 MB
Book Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 387
View: 974

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Classical And Multilinear Harmonic Analysis

by Camil Muscalu, Classical And Multilinear Harmonic Analysis Books available in Docs, PDF, EPUB, Mobi, Textbook, Kindle Format. Download Classical And Multilinear Harmonic Analysis book, "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 suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderâon-Zygmund and Littlewood-Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary, and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman-Meyer theory; Carleson's resolution of the Lusin conjecture; Calderâon's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form"--