Overview

A concise introduction to Fourier analysis on groups and unitary representation theory. The emphasis of the book is on important ideas, rather than on topics of only technical or specialized interest. After a brief review of the relevant parts of Banach algebra theory and spectral theory, the book covers the basic facts about locally compact groups, and Haar measure and unitary representations - including the Gelfand-Raikov existence among them. It is intended for mathematicians.

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9780849384905

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This delightful book fills a long-standing gap in the literature on abstract harmonic analysisTo the reviewer's knowledge, no one existing book contains al of the topics that are treated in this one[The author's] respect for the subject shows on every handthrough his careful writing style, which is concise, yet simple and elegant. The reviewer would encourage anyone with an interest in harmonic analysis to have this book in his or her personal library. ..a fine book that the reviewer would have been proud to write. -Robert S. Doran in Mathematical Reviews, Issue 98c

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