Overview
- Authors:
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Edwin Hewitt
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Department of Mathematics GN-50, University of Washington, Seattle, USA
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Kenneth A. Ross
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Department of Mathematics, University of Oregon, Eugene, USA
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Table of contents (5 chapters)
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- Edwin Hewitt, Kenneth A. Ross
Pages 1-208
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- Edwin Hewitt, Kenneth A. Ross
Pages 209-327
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- Edwin Hewitt, Kenneth A. Ross
Pages 328-483
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- Edwin Hewitt, Kenneth A. Ross
Pages 484-605
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- Edwin Hewitt, Kenneth A. Ross
Pages 606-679
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Back Matter
Pages 680-774
About this book
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.
Authors and Affiliations
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Department of Mathematics GN-50, University of Washington, Seattle, USA
Edwin Hewitt
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Department of Mathematics, University of Oregon, Eugene, USA
Kenneth A. Ross
