Principles of Harmonic Analysis

• Main Authors: Deitmar, Anton. (Author), Echterhoff, Siegfried. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Universitext
• Subjects: Mathematics.; Harmonic analysis.; Fourier analysis.; Abstract Harmonic Analysis.; Fourier Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-85469-4

The present book is intended as a text for a graduate course on abstract harmonic analysis and its applications. The book can be used as a follow up to Anton Deitmer's previous book, A First Course in Harmonic Analysis, or independently, if the students already have a modest knowledge of Fourie...

Table of Contents:

• Preface
• 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(R)
• Wavelets
• Topology
• Measure and Integration
• Functional Analysis
• Bibliography
• Index.