Classical Harmonic Analysis and Locally Compact Groups by Hans Reiter

Classical Harmonic Analysis and Locally Compact Groups

byHans Reiter, Jan D. Stegeman

Hardcover | September 1, 2000

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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 the fundamental work of Wiener, Carleman, and especially A. Weil. It starts with theclassical theory of Fourier transforms in euclidean space, continues with a study of 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.

About The Author

Dr Jan D Stegeman Department of Mathematics Utrecht University P.O. Box 80010 3508 TA Utrecht, The Netherlands. Tel. 31-30-2531525 Fax. 31-30-2518394 Email: Professor Hans Reiter (deceased)

Details & Specs

Title:Classical Harmonic Analysis and Locally Compact GroupsFormat:HardcoverPublished:September 1, 2000Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198511892

ISBN - 13:9780198511892

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Table of Contents

1. Classical harmonic analysis and Wiener's theorem2. Function algebras and the generalization of Wiener's theorem3. Locally compact groups and the Haar measure4. Locally compact abelian groups and the foundations of harmonic analysis5. Functions on locally compact abelian groups6. Wiener's theorem and locally compact abelian groups7. The spectrum and its applications8. Functions on general locally compact groupsA. Additional materialB. Notes and additional references. References. Summary of Notations. Subject Index