A Course in Abstract Harmonic Analysis

by Gerald B. Folland

Overview

A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul

Product Details

ISBN-13:	9781040071304
Publisher:	CRC Press
Publication date:	02/03/2016
Series:	Textbooks in Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	319
File size:	1 MB

About the Author

Gerald B. Folland received his Ph.D in mathematics from Princeton University, New Jersey, USA in 1971. After two years at the Courant Institute of Mathematical Sciences, New York, USA, he joined the faculty of the University of Washington, Seattle, USA, where he is now professor emeritus of mathematics. He has written a number of research and expository articles on harmonic analysis and its applications, and he is the author of eleven textbooks and research monographs.

Table of Contents

Banach Algebras and Spectral Theory. Locally Compact Groups. Basic Representation Theory. Analysis on Locally Compact Abelian Groups. Analysis on Compact Groups. Induced Representations. Further Topics in Representation Theory. Appendices.