A First Course in Harmonic Analysis

✍ Scribed by Anton Deitmar (auth.)

• Publisher: Springer New York
• Year: 2002
• Tongue: English
• Leaves: 154
• Series: Universitext
• Category: Library

✦ Table of Contents

Front Matter....Pages i-xi
Front Matter....Pages 1-1
Fourier Series....Pages 3-20
Hilbert Spaces....Pages 21-36
The Fourier Transform....Pages 37-53
Front Matter....Pages 55-55
Finite Abelian Groups....Pages 57-63
LCA Groups....Pages 65-78
The Dual Group....Pages 79-87
Plancherel Theorem....Pages 89-104
Front Matter....Pages 105-105
Matrix Groups....Pages 107-118
The Representations of SU(2)....Pages 119-125
The Peter-Weyl Theorem....Pages 127-134
Back Matter....Pages 135-152

✦ Subjects

Topological Groups, Lie Groups; Analysis