A First Course in Harmonic Analysis

• Main Author: Deitmar, Anton (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Edition: Second Edition.
• Series: Universitext
• Subjects: Mathematics.; Topological groups.; Lie groups.; Mathematical analysis.; Analysis (Mathematics).; Harmonic analysis.; Functional analysis.; Topology.; Functional Analysis.; Abstract Harmonic Analysis.; Topological Groups, Lie Groups.; Analysis.

From the reviews of the first edition: "This lovely book is intended as a primer in harmonic analysis at the undergraduate level. All the central concepts of harmonic analysis are introduced using Riemann integral and metric spaces only. The exercises at the end of each chapter are interesting...

Table of Contents:

• Fourier Analysis
• Fourier Series
• Hilbert Spaces
• The Fourier Transform
• Distributions
• LCA Groups
• Finite Abelian Groups
• LCA Groups
• The Dual Group
• Plancherel Theorem
• Noncommutative Groups
• Matrix Groups
• The Representations of SU(2)
• The Peter-Weyl Theorem
• The Heisenberg Group.