ENGLISH

A Course in Abstract Harmonic Analysis

By Gerald B. Folland

Book information

Publisher
CRC-Press
Year
1995
ISBN
9780849384905, 0849384907
LCC
QA403 .F58 1995
Open Library ID
OL1109455M
Language
english
Format
DJVU
Filesize
2 MB (1959975 bytes)
Series
CRC Pharmacology & Toxicology: Basic & Clinical Aspects
Edition
1
Pages
286\286
DPI
300
Scanned
no
Time added
2011-01-06 10:13:16

Description

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.

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