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

Rudin, Walter

Couverture rigide

ISBN 10 : 1258663627 ISBN 13 : 9781258663629

Editeur : Literary Licensing, LLC, 2013

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.

A propos du livre

Présentation de l'éditeur

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.

Présentation de l'éditeur

Written by a master mathematical expositor, this classic text has served as a fundamental resource for over five decades. Initial chapters on the basic theorems of Fourier analysis and the structure of locally compact Abelian groups, together with appendixes on topology, topological groups, Banach spaces, Banach algebras, and measure theory, provide a self-contained treatment at the advanced undergraduate and graduate levels.

Détails de l'édition

• Éditeur: Literary Licensing, LLC
• Date d'édition: 2013
• ISBN 10: 1258663627
• ISBN 13: 9781258663629
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 294
• Éditeur: Bers L, Courant R
• Coordonnées du fabricant: non disponible