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Classical Harmonic Analysis and Locally Compact Groups

Classical Harmonic Analysis and Locally Compact Groups

Hardcover

Series: London Mathematical Society Monographs, Book 22

General Mathematics

ISBN10: 0198511892
ISBN13: 9780198511892
Publisher: Oxford University Press
Published: Jan 25 2001
Pages: 344
Weight: 1.45
Height: 0.81 Width: 6.14 Depth: 9.21
Language: English
A revised and expanded second edition of Reiter's classic text Classical Harmonic Analysis and Locally Compact Groups (Clarendon Press 1968). It deals with various developments in analysis centring around around the fundamental work of Wiener, Carleman, and especially A. Weil. It starts with the classical theory of Fourier transforms in euclidean space, continues with a study at certain general function algebras, and then discusses functions defined on locally compact groups. The aim is, firstly, to bring out clearly the relations between classical analysis and group theory, and secondly, to study basic properties of functions on abelian and non-abelian groups. The book gives a systematic introduction to these topics and endeavours to provide tools for further research. In the new edition relevant material is added that was not yet available at the time of the first edition.

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General Mathematics