Introduction to Abstract Harmonic Analysis (Paperback, Dover)

This classic monograph is the work of a prominent contributor to the field of harmonic analysis. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. Prerequisites include a knowledge of the concepts of elementary modern algebra and of metric space topology.
The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.

General

Imprint:	Dover Publications Inc.
Country of origin:	United States
Series:	Dover Books on Mathematics
Release date:	June 2011
First published:	July 2011
Authors:	Lynn H. Loomis
Dimensions:	213 x 135 x 13mm (L x W x T)
Format:	Paperback - Trade
Pages:	208
Edition:	Dover
ISBN-13:	978-0-486-48123-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > General
LSN:	0-486-48123-9
Barcode:	9780486481234

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