Abstract Harmonic Analysis - nouveau livre

EAN (ISBN-13): 9781441986382
Date de parution: 2012
Editeur: Springer New York

Livre dans la base de données depuis 2016-12-22T12:19:01+01:00 (Paris)
Page de détail modifiée en dernier sur 2023-12-26T00:25:04+01:00 (Paris)
ISBN/EAN: 9781441986382

ISBN - Autres types d'écriture:
978-1-4419-8638-2
Autres types d'écriture et termes associés:
Auteur du livre: edwin may, hewitt ross
Titre du livre: topological groups, abstract harmonic analysis, group theory

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Données de l'éditeur

Auteur: Edwin Hewitt; Kenneth A. Ross
Titre: Grundlehren der mathematischen Wissenschaften; Abstract Harmonic Analysis - Volume I: Structure of Topological Groups Integration Theory Group Representations
Editeur: Springer; Springer US
525 Pages
Date de parution: 2012-12-06
New York; NY; US
Langue: Anglais
117,69 € (DE)
121,00 € (AT)
142,00 CHF (CH)
Available
IX, 525 p. 17 illus.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; harmonic analysis; Abelian group; Group representation; Group theory; Representation theory; convolution; real analysis; C; Functional Analysis; Group Theory and Generalizations; Real Functions; Mathematics and Statistics; Gruppen und Gruppentheorie; Reelle Analysis, Real-Variablen; BC

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.