Table of Contents

Haar Integration.- Banach Algebras.- Duality for Abelian Groups.- The Structure of LCA-Groups.- Operators on Hilbert Spaces.- Representations.- Compact Groups.- Direct Integrals.- The Selberg Trace Formula.- The Heisenberg Group.- SL2(?).- Wavelets.

Reviews

From the reviews:"Principles of Harmonic Analysis is an excellent and thorough introduction to both commutative and non-commutative harmonic analysis. It is suitable for any graduates student with the appropriate background … . In summary, this is a superb book. … it is extremely readable and well organized. Graduate students, and other newcomers to the field, will greatly appreciate the author’s clear and careful writing." (Kenneth A. Ross, MAA Online, February, 2009)“The book under review is a nice presentation of all the standard, basic material on abstract harmonic analysis. … The most welcome aspect of the book under review is the inclusion of a discussion of the trace formula, a rather unusual feature in an introductory book on harmonic analysis. … This is a nice addition to the literature on the subject.” (Krishnan Parthasarathy, Mathematical Reviews, Issue 2010 g)