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Fourier Analysis Of Unbounded Measures On Locally Compact Abelian Groups
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Book Synopsis Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups by : Loren N. Argabright
Download or read book Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups written by Loren N. Argabright and published by American Mathematical Soc.. This book was released on 1974 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: In harmonic analysis on a LCA group G, the term "Fourier transform" has a variety of meanings. It refers to various objects constructed in special ways, depending on the desired theory. The standard theories include the theory of Fourier-Stieltjes transforms, the Plancherel theorem, and the Bochner theorem can be viewed as another aspect of this phenomenon. However, except for special cases, we know of no attempt in the literature to undertake the desired synthesis. The purpose of the present work is to give a systematic account of such an attempt.
Book Synopsis Fourier Analysis on Groups by : Walter Rudin
Download or read book Fourier Analysis on Groups written by Walter Rudin and published by . This book was released on 2013-04 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups. Rudin's book, published in 1962, was the first to give a systematic account of these developments and has come to be regarded as a classic in the field. The basic facts concerning Fourier analysis and the structure of LCA groups are proved in the opening chapters, in order to make the treatment relatively self-contained.
Book Synopsis Fourier Analysis on Local Fields by : M. H. Taibleson
Download or read book Fourier Analysis on Local Fields written by M. H. Taibleson and published by . This book was released on 1975 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a development of the basic facts about harmonic analysis on local fields and the n-dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, and the variety of applications. The force of the analogy between the local field and Euclidean cases rests in the relationship of the field structures that underlie the respective cases. A complete classification of locally compact, non-discrete fields gives us two examples of connected fields (real and complex numbers); the rest are local fields (p-adic numbers, p-series fields, and their algebraic extensions). The local fields are studied in an effort to extend knowledge of the reals and complexes as locally compact fields. The author's central aim has been to present the basic facts of Fourier analysis on local fields in an accessible form and in the same spirit as in Zygmund's Trigonometric Series (Cambridge, 1968) and in Introduction to Fourier Analysis on Euclidean Spaces by Stein and Weiss (1971). Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups by : Loren Argabright
Download or read book Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups written by Loren Argabright and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups by : American Mathematical Society
Download or read book Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups written by American Mathematical Society and published by . This book was released on 1974 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fourier Analysis on Finite Abelian Groups by : Bao Luong
Download or read book Fourier Analysis on Finite Abelian Groups written by Bao Luong and published by Springer Science & Business Media. This book was released on 2009-08-14 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform to finite Abelian groups. With countless examples and unique exercise sets at the end of each section, Fourier Analysis on Finite Abelian Groups is a perfect companion to a first course in Fourier analysis. This text introduces mathematics students to subjects that are within their reach, but it also has powerful applications that may appeal to advanced researchers and mathematicians. The only prerequisites necessary are group theory, linear algebra, and complex analysis.
Book Synopsis Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups by : Eberhard Kaniuth
Download or read book Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups written by Eberhard Kaniuth and published by American Mathematical Soc.. This book was released on 2018-07-05 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of the Fourier algebra lies at the crossroads of several areas of analysis. Its roots are in locally compact groups and group representations, but it requires a considerable amount of functional analysis, mainly Banach algebras. In recent years it has made a major connection to the subject of operator spaces, to the enrichment of both. In this book two leading experts provide a road map to roughly 50 years of research detailing the role that the Fourier and Fourier-Stieltjes algebras have played in not only helping to better understand the nature of locally compact groups, but also in building bridges between abstract harmonic analysis, Banach algebras, and operator algebras. All of the important topics have been included, which makes this book a comprehensive survey of the field as it currently exists. Since the book is, in part, aimed at graduate students, the authors offer complete and readable proofs of all results. The book will be well received by the community in abstract harmonic analysis and will be particularly useful for doctoral and postdoctoral mathematicians conducting research in this important and vibrant area.
Book Synopsis Fourier Analysis Over Locally Compact Abelian Groups by : Liting Yu
Download or read book Fourier Analysis Over Locally Compact Abelian Groups written by Liting Yu and published by . This book was released on 2012 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fourier Analysis and Approximation by : P.L. Butzer
Download or read book Fourier Analysis and Approximation written by P.L. Butzer and published by Birkhäuser. This book was released on 2012-12-06 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the international conference on 'Harmonic Analysis and Integral Transforms', conducted by one of the authors at the Mathematical Research Institute in Oberwolfach (Black Forest) in August 1965, it was felt that there was a real need for a book on Fourier analysis stressing (i) parallel treatment of Fourier series and Fourier trans forms from a transform point of view, (ii) treatment of Fourier transforms in LP(lRn)_ space not only for p = 1 and p = 2, (iii) classical solution of partial differential equations with completely rigorous proofs, (iv) theory of singular integrals of convolu tion type, (v) applications to approximation theory including saturation theory, (vi) multiplier theory, (vii) Hilbert transforms, Riesz fractional integrals, Bessel potentials, (viii) Fourier transform methods on locally compact groups. This study aims to consider these aspects, presenting a systematic treatment of Fourier analysis on the circle as well as on the infinite line, and of those areas of approximation theory which are in some way or other related thereto. A second volume is in preparation which goes beyond the one-dimensional theory presented here to cover the subject for functions of several variables. Approximately a half of this first volume deals with the theories of Fourier series and of Fourier integrals from a transform point of view.
Book Synopsis Fourier Analysis on Groups and Partial Wave Analysis by : Robert Hermann
Download or read book Fourier Analysis on Groups and Partial Wave Analysis written by Robert Hermann and published by Addison Wesley Publishing Company. This book was released on 1969 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Jocelyn Quaintance Jean Gallier Publisher :World Scientific Publishing Company ISBN 13 :9789811291715 Total Pages :0 pages Book Rating :4.2/5 (917 download)
Book Synopsis Aspects of Harmonic Analysis on Locally Compact Abelian Groups by : Jocelyn Quaintance Jean Gallier
Download or read book Aspects of Harmonic Analysis on Locally Compact Abelian Groups written by Jocelyn Quaintance Jean Gallier and published by World Scientific Publishing Company. This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A rigorous, accessible, and self-contained introduction to the harmonic analysis of locally compact abelian groups and the mathematical underpinnings of the Fourier transform"--
Book Synopsis Fourier Analysis and Approximation of Functions by : Roald M. Trigub
Download or read book Fourier Analysis and Approximation of Functions written by Roald M. Trigub and published by Springer Science & Business Media. This book was released on 2012-11-07 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration theory and elements of Complex Analysis and Operator Theory. Applied mathematicians interested in harmonic analysis and/or numerical methods based on ideas of Approximation Theory are among them. In Chapters 6-11 very recent results are sometimes given in certain directions. Many of these results have never appeared as a book or certain consistent part of a book and can be found only in periodics; looking for them in numerous journals might be quite onerous, thus this book may work as a reference source. The methods used in the book are those of classical analysis, Fourier Analysis in finite-dimensional Euclidean space Diophantine Analysis, and random choice.
Book Synopsis Fourier Analysis on Finite Groups and Applications by : Audrey Terras
Download or read book Fourier Analysis on Finite Groups and Applications written by Audrey Terras and published by Cambridge University Press. This book was released on 1999-03-28 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.
Book Synopsis Fourier Analysis on Groups by : Walter Rudin
Download or read book Fourier Analysis on Groups written by Walter Rudin and published by . This book was released on 1990 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups. Rudin's book, published in 1962, was the first to give a systematic account of these developments and has come to be regarded as a classic in the field. The basic facts concerning Fourier analysis and the structure of LCA groups are proved in the opening chapters, in order to make the treatment relatively self-contained.
Book Synopsis Early Fourier Analysis by : Hugh L. Montgomery
Download or read book Early Fourier Analysis written by Hugh L. Montgomery and published by American Mathematical Soc.. This book was released on 2014-12-10 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Analysis is an important area of mathematics, especially in light of its importance in physics, chemistry, and engineering. Yet it seems that this subject is rarely offered to undergraduates. This book introduces Fourier Analysis in its three most classical settings: The Discrete Fourier Transform for periodic sequences, Fourier Series for periodic functions, and the Fourier Transform for functions on the real line. The presentation is accessible for students with just three or four terms of calculus, but the book is also intended to be suitable for a junior-senior course, for a capstone undergraduate course, or for beginning graduate students. Material needed from real analysis is quoted without proof, and issues of Lebesgue measure theory are treated rather informally. Included are a number of applications of Fourier Series, and Fourier Analysis in higher dimensions is briefly sketched. A student may eventually want to move on to Fourier Analysis discussed in a more advanced way, either by way of more general orthogonal systems, or in the language of Banach spaces, or of locally compact commutative groups, but the experience of the classical setting provides a mental image of what is going on in an abstract setting.
Book Synopsis Fourier Analysis on Abelian Groups by : Rose Whitmore
Download or read book Fourier Analysis on Abelian Groups written by Rose Whitmore and published by . This book was released on 2003 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fourier Analysis on Groups by : Walter Rudins
Download or read book Fourier Analysis on Groups written by Walter Rudins and published by . This book was released on 2020-09-12 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: fourier analysis on groups by walter rudins In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups. Rudin's book, published in 1962, was the first to give a systematic account of these developments and has come to be regarded as a classic in the field. The basic facts concerning Fourier analysis and the structure of LCA groups are proved in the opening chapters, in order to make the treatment relatively self-contained.
