Fourier Analysis on Groups - Softcover

Rudin, Walter

Softcover

ISBN 10: 047152364X ISBN 13: 9780471523642

Publisher: Wiley-Interscience, 1991

Synopsis

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.

About this title

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 was an Austrian-American mathematician and professor of Mathematics at the University of Wisconsin-Madison.

Edition details

• Publisher: Wiley-Interscience
• Publication date: 1991
• ISBN 10: 047152364X
• ISBN 13: 9780471523642
• Binding: Paperback
• Language: English
• Number of pages: 304