Classical Harmonic Analysis and Locally Compact Groups

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Hans Reiter (, late Professor of Mathematics) Jan D. Stegeman (Department of Mathematics, Department of Mathematics, University of Utrecht)

Classical Harmonic Analysis and Locally Compact Groups

Hans Reiter (, late Professor of Mathematics), Jan D. Stegeman (Department of Mathematics, Department of Mathematics, University of Utrecht), Jan D. Stegeman (Department of Mathematics, University of Utrecht, Netherlands)

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English

Oxford University Press
16 November 2000

Algebra; Groups & group theory; Calculus & mathematical analysis; Real analysis, real variables; Functional analysis & transforms

Series: London Mathematical Society Monographs

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 the classical 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.

By: Hans Reiter ( late Professor of Mathematics), Jan D. Stegeman (Department of Mathematics, Department of Mathematics, University of Utrecht), Jan D. Stegeman (Department of Mathematics, University of Utrecht, Netherlands)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Edition: 2nd Revised edition
Volume: 22
Dimensions: Height: 242mm, Width: 162mm, Spine: 22mm
Weight: 1g
ISBN: 9780198511892
ISBN 10: 0198511892
Series: London Mathematical Society Monographs
Pages: 344
Publication Date: 16 November 2000
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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: stegeman@math.uu.nl. Professor Hans Reiter (deceased)

Reviews for Classical Harmonic Analysis and Locally Compact Groups

I can recommend it both to those who want a careful account of the foundations of the subject, and to those who want to dip into it to find examples of what can go wrong and right in classical harmonic analysis. * Bulletin of the London Mathematical Society *