Fourier Analysis on Groups: Interscience Tracts in Pure and Applied Mathematics, No. 12

Rudin, Walter

ISBN 10: 1258663627 / ISBN 13: 9781258663629

Published by Literary Licensing, LLC, 2013

About this Item

Seller Inventory # 19652712-n

Bibliographic Details

• Title: Fourier Analysis on Groups: Interscience Tracts in Pure and Applied Mathematics, No. 12
• Publisher: Literary Licensing, LLC
• Publication Date: 2013
• Language: English
• ISBN 10: 1258663627
• ISBN 13: 9781258663629
• Binding: Hardcover
• Condition: New

About this title

Synopsis

""Fourier Analysis On Groups"" is a comprehensive mathematical text written by Walter Rudin, published as part of the Interscience Tracts in Pure and Applied Mathematics series. The book is aimed at graduate students and researchers in the field of mathematical analysis and covers the theory of Fourier analysis on locally compact groups. The text begins with an introduction to the basic concepts of group theory and harmonic analysis, before delving into the more advanced topics of Fourier transforms and Plancherel's theorem. Rudin also covers topics such as convolution, the Fourier-Stieltjes algebra, and the Fourier transform on non-abelian groups. Throughout the book, Rudin provides clear and concise explanations of the mathematical concepts, accompanied by numerous examples and exercises to aid the reader's understanding. The text is well-organized and easy to follow, making it a valuable resource for both students and researchers in the field of Fourier analysis on groups. Overall, ""Fourier Analysis On Groups"" is a highly regarded mathematical text that has been praised for its clarity, depth, and rigor. It is an essential reference for anyone interested in the theory of Fourier analysis on groups and its applications in mathematical analysis and related fields.Additional Editor Is J. J. Stoker.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

From the Back Cover

Written by a master mathematical expositor, this classic text reflects the results of the intense period of research and development in the area of Fourier analysis in the decade preceding its first publication in 1962. The enduringly relevant treatment is geared toward advanced undergraduate and graduate students and has served as a fundamental resource for more than five decades.
The self-contained text opens with an overview of the basic theorems of Fourier analysis and the structure of locally compact Abelian groups. Subsequent chapters explore idempotent measures, homomorphisms of group algebras, measures and Fourier transforms on thin sets, functions of Fourier transforms, closed ideals in L1(G), Fourier analysis on ordered groups, and closed subalgebras of L1(G). Helpful Appendixes contain background information on topology and topological groups, Banach spaces and algebras, and measure theory.
Dover (2017) republication of the edition originally published by Interscience Publishers, New York, 1962.
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