Fourier Analysis on Groups

Fourier Analysis on Groups

Author(s): Walter Rudin

Published Online: 7 SEP 2011 07:52AM EST

Print ISBN: 9780471523642

Online ISBN: 9781118165621

DOI: 10.1002/9781118165621

About this Book

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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