Elements of Abstract Harmonic Analysis

✍ Scribed by George Bachman (Auth.)

• Publisher: Academic Press
• Year: 1964
• Tongue: English
• Leaves: 262
• Category: Library

✦ Table of Contents

Content:
ACADEMIC PAPERBACKS, Page ii
Front Matter, Page iii
Copyright, Page iv
Preface, Pages v-vi
Symbols Used in Text, Pages x-xi
CHAPTER 1 - The Fourier Transform on the Real Line for Functions in L₁, Pages 1-18
CHAPTER 2 - The Fourier Transform on the Real Line for Functions in L₂, Pages 19-33
CHAPTER 3 - Regular Points and Spectrum, Pages 34-54
CHAPTER 4 - More on the Gel'fand Theory and an Introduction to Point Set Topology, Pages 55-72
CHAPTER 5 - Further Topological Notions, Pages 73-90
CHAPTER 6 - Compactness of the Space of Maximal Ideals over a Banach Algebra; an Introduction to Topological Groups and Star Algebras, Pages 91-106
CHAPTER 7 - The Quotient Group of a Topological Group and Some Further Topological Notions, Pages 107-124
CHAPTER 8 - Right Haar Measures and the Haar Covering Function, Pages 125-149
CHAPTER 9 - The Existence of a Right Invariant Haar Integral over any Locally Compact Topological Group, Pages 150-165
CHAPTER 10 - The Daniell Extension from a Topological Point of View, Some General Results from Measure Theory, and Group Algebras, Pages 166-187
CHAPTER 11 - Characters and the Dual Group of a Locally Compact, Abelian, Topological Group, Pages 188-206
CHAPTER 12 - Generalization of the Fourier Transform to L₁(G) and L₂(G), Pages 207-250
Bibliography, Page 251
Index, Pages 253-256