A Course in Abstract Harmonic Analysis (Studies in Advanced Mathematics) - Gerald B. Folland (1994)
ISBN 0849384907
Subject Harmonic analysis
Publisher CRC
Publication Date 12/27/1994
Format Hardcover (246 x 155 mm)
Language e

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.

Personal Details
Collection Status In Collection
Index 726
Read It Yes
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Product Details
LoC Classification QA403. F58 1995
Dewey 515/.2433
Cover Price $134.95
No. of Pages 290