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

Rudin, Walter

 
9781258668723: Fourier Analysis on Groups: Interscience Tracts in Pure and Applied Mathematics, No. 12

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.

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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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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