Abstract Harmonic Analysis: Volume 1: Structure of Topological Groups, Integration Theory, Group Representations

Edwin Hewitt,Kenneth a Ross

ISBN 10: 3540029834 / ISBN 13: 9783540029830

Published by Springer January 1963, 1963

About this Item

used hardcover in a dust jacket. jacket is slightly worn about the edges, but with no tears and not price clipped. pages and binding are clean, straight and tight. there are no marks to the text or other serious flaws.

Seller Inventory # 1529879

Bibliographic Details

• Title: Abstract Harmonic Analysis: Volume 1: Structure of Topological Groups, Integration Theory, Group Representations
• Publisher: Springer January 1963
• Publication Date: 1963
• Language: English
• ISBN 10: 3540029834
• ISBN 13: 9783540029830
• Binding: Hardcover
• Condition: VG
• Dust Jacket Condition: Very Good
• Seller catalogs:
  • MATH misc. and higher

About this title

Synopsis

When we acce pted th ekindinvitationof Prof. Dr. F. K. Scnxmrrto write a monographon abstract harmonic analysis for the Grundlehren. der Maihemaiischen Wissenscha/ten series, weintendedto writeall that wecouldfindoutaboutthesubjectin a textof about 600printedpages. We intended thatour book should be accessi ble tobeginners, and we hoped to makeit usefulto specialists as well. These aims proved to be mutually inconsistent. Hencethe presentvolume comprises onl y half of theprojectedwork. Itgives all ofthe structure oftopological groups neededfor harmonic analysisas it is known to u s; it treats integration on locallycompact groups in detail;it contains an introductionto the theory of group representati ons. In the second volume we will treat harmonicanalysisoncompactgroupsand locallycompactAbeliangroups, in considerable et d ail. Thebook is basedon courses given by E. HEWITT at the University of Washington and the University of Uppsala, althoughnaturallythe material of these courses has been en ormously expanded to meet the needsof a formal monograph. Like the. other treatments of harmonic analysisthathaveappeared since 1940, the book is a linealdescendant of A. WEIL'S fundamentaltreatise (WElL [4J)1. The debtof all workers in the field to WEIL'S work is wellknown and enormous. We havealso borrowed freely from LOOMIS'S treatmentof the subject (LoolIIS[2 J), from NAIMARK [1J, and most especially from PONTRYA GIN [7]. In our exposition ofthestructur e of locally compact Abelian groups and of the PONTRYA GIN-VA N KAM PEN dualitytheorem, wehave beenstrongly influenced byPONTRYA GIN'S treatment. We hope to havejustified the writing of yet anothertreatiseon abstractharmonicanalysis by taking up recentwork, by writingoutthedetailsofeveryimportantconstruction andtheorem, andby including a largenumberof concrete ex amplesand factsnotavailablein other textbooks.