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Abstract Harmonic Analysis: Volume I Structure Of Topological Groups Integration Theory Group Representations (Grundlehren Der Mathematischen ... mathematischen Wissenschaften, 115, Band 115) - Hewitt, Edwin
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Hewitt, Edwin:

Abstract Harmonic Analysis: Volume I Structure Of Topological Groups Integration Theory Group Representations (Grundlehren Der Mathematischen ... mathematischen Wissenschaften, 115, Band 115) - Paperback

2005, ISBN: 9780387941905

Mitwirkende: Ross, Kenneth A. Springer, Taschenbuch, Auflage: 2nd ed. 1979, 536 Seiten, Publiziert: 2005-01-09T00:00:01Z, Produktgruppe: Buch, 0.95 kg, Verkaufsrang: 3805384, Algebra & Za… More...

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Abstract Harmonic Analysis Volume I: Structure of Topological Groups Integration Theory Group Representations - Ross, Kenneth A.; Hewitt, Edwin
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Ross, Kenneth A.; Hewitt, Edwin:

Abstract Harmonic Analysis Volume I: Structure of Topological Groups Integration Theory Group Representations - new book

1994, ISBN: 0387941908

2nd ed. 1979 Kartoniert / Broschiert Gruppen und Gruppentheorie, Funktionalanalysis und Abwandlungen, abelian group; Group representation; Group Theory; Representation theory; convoluti… More...

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Abstract Harmonic Analysis - Edwin Hewitt/ Kenneth A. Ross
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Edwin Hewitt/ Kenneth A. Ross:
Abstract Harmonic Analysis - Paperback

ISBN: 9780387941905

*Abstract Harmonic Analysis* - Volume I: Structure of Topological Groups Integration Theory Group Representations. 2nd ed. 1979 / Taschenbuch für 117.49 € / Aus dem Bereich: Bücher, Wisse… More...

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

ISBN: 9780387941905

Springer, 1994-01-07. Paperback. New. New. In shrink wrap. Looks like an interesting title!, Springer, 1994-01-07, 6

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Abstract Harmonic Analysis
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Abstract Harmonic Analysis - new book

ISBN: 9780387941905

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Details of the book
Abstract Harmonic Analysis
Author:
Title:
ISBN:

0387941908


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.

Details of the book - Abstract Harmonic Analysis


EAN (ISBN-13): 9780387941905
ISBN (ISBN-10): 0387941908
Hardcover
Paperback
Publishing year: 2007
Publisher: Springer New York
540 Pages
Weight: 0,800 kg
Language: eng/Englisch

Book in our database since 2007-06-04T07:26:35-04:00 (New York)
Detail page last modified on 2024-02-13T10:49:45-05:00 (New York)
ISBN/EAN: 0387941908

ISBN - alternate spelling:
0-387-94190-8, 978-0-387-94190-5
Alternate spelling and related search-keywords:
Book author: hewitt edwin, edwin may, allen ross
Book title: grundlehren der mathematischen wissenschaften, group representation theory, abstract harmonic analysis, new seattle, springer, wissenschaft, structure topological groups integration theory group representations, theory topological structures, group zero, the group

Information from Publisher

Author: Edwin Hewitt; Kenneth A. Ross
Title: Grundlehren der mathematischen Wissenschaften; Abstract Harmonic Analysis - Volume I: Structure of Topological Groups Integration Theory Group Representations
Publisher: Springer; Springer US
525 Pages
Publishing year: 1994-01-07
New York; NY; US
Language: English
128,39 € (DE)
131,99 € (AT)
142,00 CHF (CH)
Available
IX, 525 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; harmonic analysis; Abelian group; Group representation; Group theory; Representation theory; convolution; real analysis; Functional Analysis; Group Theory and Generalizations; Real Functions; Gruppen und Gruppentheorie; Reelle Analysis, Real-Variablen; EA

One: Preliminaries.- Section 1. Notationand terminology.- Section 2. Group theory.- Section 3. Topology.- ChapterTwo : Elementsof thetheoryof topological groups.- Section 4. Basic definitions and facts.- Section 5. Subgroups and quotient groups.- Section 6. Product groups and projective limits.- Section 7. Properties of topologicalgroups involving connectedness.- Section 8. Invariant pseudo-metrics and separation axioms.- Section 9. Structure theory for compact and locally compact Abelian groups.- Section 10. Some special locally compact Abelian groups.- Three: Integration on locally compact spaces.- Section 11. Extension of a linear functional and construction of a measure.- Section 12. The spaces Lp(X) (1 ? p ? ?).- Section 13. Integration on product spaces.- Section 14. Complex measures.- Four: Invariant functionals.- Section 15. The Haar integral.- Section 16. More about Haar measure.- Section 17. Invariant means defined for all bounded functions.- Section 18. Invariant means on almost periodic functions.- Five: Convolutions and group representations.- Section 19. Introduction to convolutions.- Section 20. Convolutions of functions and measures.- Section 21. Introduction to representation theory.- Section 22. Unitary representations of locally compact groups.- Six : Characters and duality of locally compact Abelian groups.- Section 23. The character group of a locally compact Abelian group.- Section 24. The duality theorem.- Section 25. Special structure theorems.- Section 26. Miscellaneous consequences of the duality theorem.- Appendix A: Abelian groups.- B: Topological linear spaces.- C: Introduction to normed algebras.- Index of symbols.- Index of authors and terms.
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