Fourier Analysis on Groups
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ISBN-13:
9780471523642
Veröffentl:
1991
Erscheinungsdatum:
16.01.1991
Seiten:
304
Autor:
Walter Rudin
Gewicht:
420 g
Format:
216x140x18 mm
Sprache:
Englisch
Beschreibung:
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.
The Basic Theorems of Fourier Analysis. The Structure of Locally Compact Abelian Groups. Idempotent Measures. Homomorphisms of Group Algebras. Measures and Fourier Transforms on Thin Sets. Functions of Fourier Transforms. Closed Ideals in L 1 (G). Fourier Analysis on Ordered Groups. Closed Subalgebras of L 1 (G). Appendices: Topology, Topological Groups, Banach Spaces, Banach Algebras, Measure Theory. Bibliography. List of Special Symbols. Index.
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