Fourier Analysis on Groups

Walter Rudin

ISBN 10: 0486813657 / ISBN 13: 9780486813653

Editore: Dover Publications Inc., US, 2017

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.Reprint of the Interscience Publishers, New York, 1962 edition. Codice articolo LU-9780486813653

Riassunto:

Il trattamento autonomo di un maestro dell'esposizione matematica spazia dai capitoli introduttivi sui teoremi fondamentali dell'analisi di Fourier e sulla struttura dei gruppi abeliani localmente compatti, fino ad ampie appendici su topologia, gruppi topologici e altro ancora. Edizione del 1962.

Informazioni sull?autore:

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.

Dati bibliografici

Titolo: Fourier Analysis on Groups
Casa editrice: Dover Publications Inc., US
Data di pubblicazione: 2017
Legatura: Paperback
Condizione: New