Fourier Analysis on Groups (Wiley Classics Library) by Walter Rudin

By Walter Rudin

Within the past due Nineteen Fifties, the various extra sophisticated facets of Fourier research have been transferred from their unique settings (the unit circle, the integers, the genuine line) to arbitrary in the community compact abelian (LCA) teams. Rudin's booklet, released in 1962, was once the 1st to offer a scientific account of those advancements and has turn out to be considered as a vintage within the box. the elemental proof referring to Fourier research and the constitution of LCA teams are proved within the starting chapters, in an effort to make the therapy quite self-contained.

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