Fourier Analysis on Groups (Dover Books on Mathematics) - Softcover

Rudin, Walter

Softcover

ISBN 10: 0486813657 ISBN 13: 9780486813653

Publisher: Dover Publications, 2017

Synopsis

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.

About this title

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.

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

Edition details

• Publisher: Dover Publications
• Publication date: 2017
• Language: English
• ISBN 10: 0486813657
• ISBN 13: 9780486813653
• Binding: Paperback
• Number of pages: 304