Abstract Harmonic Analysis
Edwin Hewitt, Kenneth A. Ross
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.
카테고리:
권:
Volume 1
년:
1987
판:
2d ed
출판사:
Springer-Verlag
언어:
english
페이지:
269
ISBN 10:
3540094342
ISBN 13:
9783540094340
시리즈:
Grundlehren der mathematischen Wissenschaften 115
파일:
DJVU, 6.96 MB
IPFS:
,
english, 1987