Classical Harmonic Analysis and Locally Compact Groups (London Mathematical Society Monographs, 22) 2nd Edition by the late Hans Reiter (PDF)

Description

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 withthe 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 , andsecondly, 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 firstedition.

User’s Reviews

Editorial Reviews: Review “The original book, Classical harmonic analysis and locally compact groups, by H. Reiter appeared in 1968. . . the new addition has expanded and additional material has been appended. . .The monograph is designed to serve both as a general survey and a s a detailed exposition of the topics ittreats. It should be accessible to graduate students and researchers interested in harmonic analysis and understandable with a basic knowledge of functional analysis and measure theory, together with a background of real and complex analysis.”–EMS”[Stegman] excellently succeeded in preparing this new edition in the spirit of Reiter… [a] very recommendable book.”–Mathematical Abstracts”On the whole this book is very good and had interesting material to go through for beginners on harmonic analysis.”–Mathematical Reviews”. . .I can recommend [this book] 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 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: stegeman@math.uu.nl. Professor Hans Reiter (deceased)

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