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001: Abstract Harmonic Analysis: Volume I Structure of Topological Groups Integration Theory Group Representations (Grundlehren der mathematischen Wissenschaften) - Edwin Hewitt, Kenneth A. Ross
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001: Abstract Harmonic Analysis: Volume I Structure of Topological Groups Integration Theory Group Representations (Grundlehren der mathematischen Wissenschaften) - Taschenbuch

ISBN: 0387941908

[SR: 5842177], Paperback, [EAN: 9780387941905], Springer, Springer, Book, [PU: Springer], Springer, The book is based on courses given by E. Hewitt at the University of Washington and the University of Uppsala. The book is intended to be readable by students who have had basic graduate courses in real analysis, set-theoretic topology, and algebra. That is, the reader should know elementary set theory, set-theoretic topology, measure theory, and algebra. The book begins with preliminaries in notation and terminology, group theory, and topology. It continues with elements of the theory of topological groups, the integration on locally compact spaces, and invariant functionals. The book concludes with convolutions and group representations, and characters and duality of locally compact Abelian groups., 13944, Infinity, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13955, Mathematical Analysis, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13889, Abstract, 13887, Algebra, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13920, Functional Analysis, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13940, Group Theory, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 491542, Algebra & Trigonometry, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Abstract Harmonic Analysis Vol. I : Structure of Topological Groups, Integration Theory, Group Representations - Kenneth A. Ross; Edwin Hewitt
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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 (Lool\IIS[2 J), from NAIMARK [1J,and most especially from PONTRYA GIN [7]. In our exposition ofthestructur e of locally compact Abelian group algebra and trigonometry,math,mathematics,science and math,science and math,textbooks Mathematics, Springer

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Abstract Harmonic Analysis:Volume I Structure of Topological Groups Integration Theory Group Representations Grundlehren der mathematischen Wissenschaften. 2nd ed. 1979 Edwin Hewitt, Kenneth A. Ross Abstract Harmonic Analysis:Volume I Structure of Topological Groups Integration Theory Group Representations Grundlehren der mathematischen Wissenschaften. 2nd ed. 1979 Edwin Hewitt, Kenneth A. Ross Bücher > Wissenschaft > Mathematik, Springer New York

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Abstract Harmonic Analysis: Volume I Structure of Topological Groups Integration Theory Group Representations Abstract-Harmonic-Analysis~~Edwin-Hewitt Science>Mathematics>Mathematics Paperback, Springer New York

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Abstract Harmonic Analysis

The book is based on courses given by E. Hewitt at the University of Washington and the University of Uppsala. The book is intended to be readable by students who have had basic graduate courses in real analysis, set-theoretic topology, and algebra. That is, the reader should know elementary set theory, set-theoretic topology, measure theory, and algebra. The book begins with preliminaries in notation and terminology, group theory, and topology. It continues with elements of the theory of topological groups, the integration on locally compact spaces, and invariant functionals. The book concludes with convolutions and group representations, and characters and duality of locally compact Abelian groups.

Detailangaben zum Buch - Abstract Harmonic Analysis


EAN (ISBN-13): 9780387941905
ISBN (ISBN-10): 0387941908
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2007
Herausgeber: Springer-Verlag GmbH
540 Seiten
Gewicht: 0,800 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 04.06.2007 13:26:35
Buch zuletzt gefunden am 16.01.2018 09:23:31
ISBN/EAN: 0387941908

ISBN - alternative Schreibweisen:
0-387-94190-8, 978-0-387-94190-5


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