Abstract Harmonic Analysis by Edwin Hewitt

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Summary

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.

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Abstract Harmonic Analysis by Edwin Hewitt

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.
SKU Unavailable
ISBN 13 9783662245958
ISBN 10 3662245957
Title Abstract Harmonic Analysis
Author Edwin Hewitt
Series Grundlehren Der Mathematischen Wissenschaften
Condition Unavailable
Binding Type Paperback
Publisher Springer
Number of pages 774
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.