Fourier Analysis on Groups

Front Cover
John Wiley & Sons, Jan 25, 1990 - Mathematics - 285 pages
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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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Contents

Chapter
1
Chapter 2
35
Chapter 3
59
Chapter 4
77
The General Case
85
Chapter 5
97
Chapter 6
131
Chapter 7
157
Chapter 8
193
Chapter 9
231
Appendices
247
Banach Spaces
256
E Measure Theory
264
Bibliography
271
List of Special Symbols
281
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