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Zusatztext " 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." Informationen zum Autor 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) Klappentext 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. Zusammenfassung A revised and expanded second edition of Reiter's Classical Harmonic Analysis and Locally Compact Groups (Clarendon Press 1968). Inhaltsverzeichnis 1: Classical harmonic analysis and Wiener's theorem 2: Function algebras and the generalization of Wiener's theorem 3: Locally compact groups and the Haar measure 4: Locally compact abelian groups and the foundations of harmonic analysis 5: Functions on locally compact abelian groups 6: Wiener's theorem and locally compact abelian groups 7: The spectrum and its applications 8: Functions on general locally compact groups A. Additional material B. Notes and additional references . References . Summary of Notations . Subject Index ...
