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Abstract Harmonic Analysis: Volume II: Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups

Abstract Harmonic Analysis: Volume II: Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups

Paperback

Series: Grundlehren Der Mathematischen Wissenschaften, Book 152

General Mathematics

ISBN10: 3662245957
ISBN13: 9783662245958
Publisher: Springer Nature
Published: Jan 1 1970
Pages: 774
Weight: 2.39
Height: 1.57 Width: 6.14 Depth: 9.21
Language: English
This book is a continuation of Volume I of the same title [Grund- lehren der mathematischen Wissenschaften, Band 115 ]. We constantly 1 1. The textbook Real and cite definitions and results from Volume abstract analysis by E. HEWITT and K. R. STROMBERG [Berlin - Gottin- gen -Heidelberg: Springer-Verlag 1965], which appeared between the publication of the two volumes of this work, contains many standard facts from analysis. We use this book as a convenient reference for such facts, and denote it in the text by RAAA. Most readers will have only occasional need actually to read in RAAA. Our goal in this volume is to present the most important parts of harmonic analysis on compact groups and on locally compact Abelian groups. We deal with general locally compact groups only where they are the natural setting for what we are considering, or where one or another group provides a useful counterexample. Readers who are interested only in compact groups may read as follows: 27, Appendix D, 28-30 [omitting subheads (30.6)-(30.60)ifdesired], (31.22)-(31.25), 32, 34-38, 44. Readers who are interested only in locally compact Abelian groups may read as follows: 31-33, 39-42, selected Mis- cellaneous Theorems and Examples in 34-38. For all readers, 43 is interesting but optional. Obviously we have not been able to cover all of harmonic analysis.

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