Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63

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Publisher : Princeton University Press
ISBN 13 : 1400881870
Total Pages : 160 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 by : Elias M. Stein

Download or read book Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 written by Elias M. Stein and published by Princeton University Press. This book was released on 2016-03-02 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work deals with an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student.

Topics in Harmonic Analysis, Related to the Littlewood-Paley Theory

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Publisher : Princeton University Press
ISBN 13 : 9780691080673
Total Pages : 168 pages
Book Rating : 4.0/5 (86 download)

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Book Synopsis Topics in Harmonic Analysis, Related to the Littlewood-Paley Theory by : Elias M. Stein

Download or read book Topics in Harmonic Analysis, Related to the Littlewood-Paley Theory written by Elias M. Stein and published by Princeton University Press. This book was released on 1970-02-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work deals with an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student.

Commutative Harmonic Analysis IV

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Publisher : Springer Science & Business Media
ISBN 13 : 3662063018
Total Pages : 235 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Commutative Harmonic Analysis IV by : V.P. Khavin

Download or read book Commutative Harmonic Analysis IV written by V.P. Khavin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the groundwork laid in the first volume (EMS 15) of the Commutative Harmonic Analysis subseries of the Encyclopaedia, the present volume takes up four advanced topics in the subject: Littlewood-Paley theory for singular integrals, exceptional sets, multiple Fourier series and multiple Fourier integrals.

Commutative Harmonic Analysis IV

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Publisher : Springer
ISBN 13 : 9783642081033
Total Pages : 230 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Commutative Harmonic Analysis IV by : V.P. Khavin

Download or read book Commutative Harmonic Analysis IV written by V.P. Khavin and published by Springer. This book was released on 2010-12-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the groundwork laid in the first volume (EMS 15) of the Commutative Harmonic Analysis subseries of the Encyclopaedia, the present volume takes up four advanced topics in the subject: Littlewood-Paley theory for singular integrals, exceptional sets, multiple Fourier series and multiple Fourier integrals.

Classical Fourier Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387094326
Total Pages : 494 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Classical Fourier Analysis by : Loukas Grafakos

Download or read book Classical Fourier Analysis written by Loukas Grafakos and published by Springer Science & Business Media. This book was released on 2008-09-18 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Classical and Multilinear Harmonic Analysis

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Publisher : Cambridge University Press
ISBN 13 : 1107031826
Total Pages : 341 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Classical and Multilinear Harmonic Analysis by : Camil Muscalu

Download or read book Classical and Multilinear Harmonic Analysis written by Camil Muscalu and published by Cambridge University Press. This book was released on 2013-01-31 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

Classical and Multilinear Harmonic Analysis

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Publisher : Cambridge University Press
ISBN 13 : 0521882451
Total Pages : 389 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Classical and Multilinear Harmonic Analysis by : Camil Muscalu

Download or read book Classical and Multilinear Harmonic Analysis written by Camil Muscalu and published by Cambridge University Press. This book was released on 2013-01-31 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

Classical and Multilinear Harmonic Analysis: Volume 2

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Publisher : Cambridge University Press
ISBN 13 : 1139620460
Total Pages : 341 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Classical and Multilinear Harmonic Analysis: Volume 2 by : Camil Muscalu

Download or read book Classical and Multilinear Harmonic Analysis: Volume 2 written by Camil Muscalu and published by Cambridge University Press. This book was released on 2013-01-31 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–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; Calderón's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.

Real-Variable Methods in Harmonic Analysis

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Publisher : Elsevier
ISBN 13 : 1483268888
Total Pages : 474 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Real-Variable Methods in Harmonic Analysis by : Alberto Torchinsky

Download or read book Real-Variable Methods in Harmonic Analysis written by Alberto Torchinsky and published by Elsevier. This book was released on 2016-06-03 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-Variable Methods in Harmonic Analysis deals with the unity of several areas in harmonic analysis, with emphasis on real-variable methods. Active areas of research in this field are discussed, from the Calderón-Zygmund theory of singular integral operators to the Muckenhoupt theory of Ap weights and the Burkholder-Gundy theory of good ? inequalities. The Calderón theory of commutators is also considered. Comprised of 17 chapters, this volume begins with an introduction to the pointwise convergence of Fourier series of functions, followed by an analysis of Cesàro summability. The discussion then turns to norm convergence; the basic working principles of harmonic analysis, centered around the Calderón-Zygmund decomposition of locally integrable functions; and fractional integration. Subsequent chapters deal with harmonic and subharmonic functions; oscillation of functions; the Muckenhoupt theory of Ap weights; and elliptic equations in divergence form. The book also explores the essentials of the Calderón-Zygmund theory of singular integral operators; the good ? inequalities of Burkholder-Gundy; the Fefferman-Stein theory of Hardy spaces of several real variables; Carleson measures; and Cauchy integrals on Lipschitz curves. The final chapter presents the solution to the Dirichlet and Neumann problems on C1-domains by means of the layer potential methods. This monograph is intended for graduate students with varied backgrounds and interests, ranging from operator theory to partial differential equations.

Gaussian Harmonic Analysis

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Publisher : Springer
ISBN 13 : 3030055973
Total Pages : 477 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Gaussian Harmonic Analysis by : Wilfredo Urbina-Romero

Download or read book Gaussian Harmonic Analysis written by Wilfredo Urbina-Romero and published by Springer. This book was released on 2019-06-21 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Proceedings of the Fourth German-Japanese Symposium, Infinite Dimensional Harmonic Analysis IV

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Publisher : World Scientific
ISBN 13 : 9812832823
Total Pages : 337 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Proceedings of the Fourth German-Japanese Symposium, Infinite Dimensional Harmonic Analysis IV by : Joachim Hilgert

Download or read book Proceedings of the Fourth German-Japanese Symposium, Infinite Dimensional Harmonic Analysis IV written by Joachim Hilgert and published by World Scientific. This book was released on 2009 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability theory and representation theory.

Classical Fourier Analysis

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Publisher : Springer
ISBN 13 : 1493911945
Total Pages : 647 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Classical Fourier Analysis by : Loukas Grafakos

Download or read book Classical Fourier Analysis written by Loukas Grafakos and published by Springer. This book was released on 2014-11-17 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study. This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.

Geometric Aspects of Harmonic Analysis

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Publisher : Springer Nature
ISBN 13 : 3030720586
Total Pages : 488 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Geometric Aspects of Harmonic Analysis by : Paolo Ciatti

Download or read book Geometric Aspects of Harmonic Analysis written by Paolo Ciatti and published by Springer Nature. This book was released on 2021-09-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume originated in talks given in Cortona at the conference "Geometric aspects of harmonic analysis" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas. The subjects dealt with are topics of current interest in closely interrelated areas of Fourier analysis, singular integral operators, oscillatory integral operators, partial differential equations, multilinear harmonic analysis, and several complex variables. The work is addressed to researchers in the field.

Harmonic Analysis in Euclidean Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821814389
Total Pages : 438 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Harmonic Analysis in Euclidean Spaces by : American Mathematical Society

Download or read book Harmonic Analysis in Euclidean Spaces written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 1979 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, Lie groups and functional analysis

Topics in Analysis and Its Applications

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Publisher : World Scientific
ISBN 13 : 9814494208
Total Pages : 464 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topics in Analysis and Its Applications by : R Coifman

Download or read book Topics in Analysis and Its Applications written by R Coifman and published by World Scientific. This book was released on 2000-06-21 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains five theses in analysis, by A C Gilbert, N Saito, W Schlag, T Tao and C M Thiele. It covers a broad spectrum of modern harmonic analysis, from Littlewood–Paley theory (wavelets) to subtle interactions of geometry and Fourier oscillations. The common theme of the theses involves intricate local Fourier (or multiscale) decompositions of functions and operators to account for cumulative properties involving size or structure. Contents:Lp → Lq Estimates for the Circular Maximal Function (W Schlag)Three Regularity Results in Harmonic Analysis (T Tao)Time-Frequency Analysis in the Discrete Phase Plane (C M Thiele)Multiresolution Homogenization Schemes for Differential Equations and Applications (A C Gilbert)Local Feature Extraction and Its Applications Using a Library of Bases (N Saito) Readership: Researchers in the fields of analysis & differential equations, signal processing and applied mathematics. Keywords:Harmonic Analysis;Multilinear Singular Integrals;Walsh Functions;Convergence of Fourier Series;Fast Walsh Transform;Bilinear Hilbert Transform

Harmonic Analysis on Reductive Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 1461204550
Total Pages : 395 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Harmonic Analysis on Reductive Groups by : W. Barker

Download or read book Harmonic Analysis on Reductive Groups written by W. Barker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: A conference on Harmonic Analysis on Reductive Groups was held at Bowdoin College in Brunswick, Maine from July 31 to August 11, 1989. The stated goal of the conference was to explore recent advances in harmonic analysis on both real and p-adic groups. It was the first conference since the AMS Summer Sym posium on Harmonic Analysis on Homogeneous Spaces, held at Williamstown, Massachusetts in 1972, to cover local harmonic analysis on reductive groups in such detail and to such an extent. While the Williamstown conference was longer (three weeks) and somewhat broader (nilpotent groups, solvable groups, as well as semisimple and reductive groups), the structure and timeliness of the two meetings was remarkably similar. The program of the Bowdoin Conference consisted of two parts. First, there were six major lecture series, each consisting of several talks addressing those topics in harmonic analysis on real and p-adic groups which were the focus of intensive research during the previous decade. These lectures began at an introductory level and advanced to the current state of research. Sec ond, there was a series of single lectures in which the speakers presented an overview of their latest research.

Séminaire de Probabilités XLVI

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Publisher : Springer
ISBN 13 : 3319119702
Total Pages : 511 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Séminaire de Probabilités XLVI by : Catherine Donati-Martin

Download or read book Séminaire de Probabilités XLVI written by Catherine Donati-Martin and published by Springer. This book was released on 2014-12-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a broad overview of the current state of the art in probability theory and its applications, and featuring an article coauthored by Mark Yor, this volume contains contributions on branching processes, Lévy processes, random walks and martingales and their connection with, among other topics, rough paths, semi-groups, heat kernel asymptotics and mathematical finance.