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

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9781258663629: Fourier Analysis on Groups: Interscience Tracts in Pure and Applied Mathematics, No. 12
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Additional Editor Is J. J. Stoker.

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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.
www.doverpublications.com

About the Author:

Walter Rudin (1921–2010) was Professor of Mathematics at the University of Wisconsin, Madison. His best-known books include Principles of Mathematical Analysis, Real and Complex Analysis, and Functional Analysis.

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Other Popular Editions of the Same Title

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9780470744819: Fourier Analysis on Groups (Interscience Tracts in Pure & Applied Mathematics, Vol. 12)

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Book Description Literary Licensing, LLC, United States, 2013. Hardback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. 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. Seller Inventory # APC9781258663629

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Book Description Literary Licensing, LLC, United States, 2013. Hardback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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. Seller Inventory # APC9781258663629

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