On The Pointwise Convergence Of Fourier Series
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On The Pointwise Convergence Of Fourier Series
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Author : Charles J. Mozzochi
language : en
Publisher:
Release Date : 2014-09-01
On The Pointwise Convergence Of Fourier Series written by Charles J. Mozzochi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Pointwise Convergence Of Fourier Series
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Author : Juan Arias de Reyna
language : en
Publisher: Springer
Release Date : 2004-10-13
Pointwise Convergence Of Fourier Series written by Juan Arias de Reyna and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-13 with Mathematics categories.
This book contains a detailed exposition of Carleson-Hunt theorem following the proof of Carleson: to this day this is the only one giving better bounds. It points out the motivation of every step in the proof. Thus the Carleson-Hunt theorem becomes accessible to any analyst.The book also contains the first detailed exposition of the fine results of Hunt, Sjölin, Soria, etc on the convergence of Fourier Series. Its final chapters present original material. With both Fefferman's proof and the recent one of Lacey and Thiele in print, it becomes more important than ever to understand and compare these two related proofs with that of Carleson and Hunt. These alternative proofs do not yield all the results of the Carleson-Hunt proof. The intention of this monograph is to make Carleson's proof accessible to a wider audience, and to explain its consequences for the pointwise convergence of Fourier series for functions in spaces near $äcal Lü^1$, filling a well-known gap in the literature.
Pointwise Convergence Of Fourier Series
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Author : Juan Arias de Reyna
language : en
Publisher:
Release Date : 2014-01-15
Pointwise Convergence Of Fourier Series written by Juan Arias de Reyna and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Pointwise Convergence Of Noncommutative Fourier Series
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Author : Guixiang Hong
language : en
Publisher: American Mathematical Society
Release Date : 2024-12-13
Pointwise Convergence Of Noncommutative Fourier Series written by Guixiang Hong and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-13 with Mathematics categories.
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Pointwise Convergence Of Fourier Series
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Author : Aongus O. Cairbre
language : en
Publisher:
Release Date : 1982
Pointwise Convergence Of Fourier Series written by Aongus O. Cairbre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
An Introduction To Lebesgue Integration And Fourier Series
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Author : Howard J. Wilcox
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
An Introduction To Lebesgue Integration And Fourier Series written by Howard J. Wilcox and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.
Classical And Multilinear Harmonic Analysis
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Author : Camil Muscalu
language : en
Publisher: Cambridge University Press
Release Date : 2013-01-31
Classical And Multilinear Harmonic Analysis written by Camil Muscalu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-31 with Mathematics categories.
This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.
Trigonometric Fourier Series And Their Conjugates
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Author : L. Zhizhiashvili
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-06-30
Trigonometric Fourier Series And Their Conjugates written by L. Zhizhiashvili and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-30 with Mathematics categories.
Examines aspects of the theory of multiple trigonometric Fourier series, such as the existence and properties of the conjugates and Hilbert transforms of integrable functions of several variables; convergence of Fourier series and their conjugates, and their summability by Cesaro and Abel-Poisson methods; and approximating properties of Cesaro means of Fourier series and their conjugates. Special emphasis is on new effects which arise from dealing with multiple series and which are not inherent in the one-dimensional case. Unsolved problems are formulated separately. For graduate students and researchers in Fourier analysis and operational calculus. Annotation copyright by Book News, Inc., Portland, OR
A First Course In Harmonic Analysis
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Author : Anton Deitmar
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-03-09
A First Course In Harmonic Analysis written by Anton Deitmar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-09 with Mathematics categories.
Affordable softcover second edition of bestselling title (over 1000 copies sold of previous edition) A primer in harmonic analysis on the undergraduate level Gives a lean and streamlined introduction to the central concepts of this beautiful and utile theory. Entirely based on the Riemann integral and metric spaces instead of the more demanding Lebesgue integral and abstract topology. Almost all proofs are given in full and all central concepts are presented clearly. Provides an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Make the reader aware of the fact that both principal incarnations of Fourier theory, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. Introduces the reader to the techniques used in harmonic analysis of noncommutative groups. These techniques are explained in the context of matrix groups as a principal example.
Pointwise Convergence Of Fourier Series On Compact Lie Gropus
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Author : L. Colzani
language : en
Publisher:
Release Date : 1990
Pointwise Convergence Of Fourier Series On Compact Lie Gropus written by L. Colzani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.