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A Course in Abstract Harmonic Analysis

A Course in Abstract Harmonic Analysis

by Gerald B. Folland
Hardback
Publication Date: 27/12/1994

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$292.00
Abstract theory remains an indispensable foundation for the study of concrete cases. It shows what the general picture should look like and provides results that are useful again and again. Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory. A Course in Abstract Harmonic Analysis offers a concise, readable introduction to Fourier analysis on groups and unitary representation theory. After a brief review of the relevant parts of Banach algebra theory and spectral theory, the book proceeds to the basic facts about locally compact groups, Haar measure, and unitary representations, including the Gelfand-Raikov existence theorem. The author devotes two chapters to analysis on Abelian groups and compact groups, then explores induced representations, featuring the imprimitivity theorem and its applications. The book concludes with an informal discussion of some further aspects of the representation theory of non-compact, non-Abelian groups.
ISBN:
9780849384905
9780849384905
Category:
Functional analysis & transforms
Format:
Hardback
Publication Date:
27-12-1994
Language:
English
Publisher:
Taylor & Francis Inc
Country of origin:
United States
Pages:
288
Dimensions (mm):
234x156x17mm
Weight:
0.57kg

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