Abstract Harmonic Analysis: Volume I Structure Of Topological Groups Integration Theory Group Representations (Grundlehren Der Mathematischen Wissenschaften): 115 - Brossura

Hewitt, Edwin

Brossura

ISBN 10: 0387941908 ISBN 13: 9780387941905

Casa editrice: Springer, 2005

Riassunto

g a largenumberof concrete ex amplesand factsnotavailablein other textbooks.

Su questo libro

Contenuti

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.

Product Description

Book by Hewitt Edwin Ross Kenneth A

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2005
• Lingua: Inglese
• ISBN 10: 0387941908
• ISBN 13: 9780387941905
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 536
• Contatto del produttore: {language_tag:it_IT,value:"Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com"}