Del 29 - Wiley Classics Library

Fourier Analysis on Groups

Häftad, Engelska, 1990

AvWalter Rudin

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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.

Produktinformation

Utgivningsdatum1990-06-28
Mått141 x 203 x 16 mm
Vikt325 g
FormatHäftad
SpråkEngelska
SerieWiley Classics Library
Antal sidor304
FörlagJohn Wiley & Sons Inc
ISBN9780471523642

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Beräkning och matematisk analys inom Naturvetenskap och teknik

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.