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

EAN (ISBN-13): 9780387941905
ISBN (ISBN-10): 0387941908
Gebonden uitgave
pocket book
Verschijningsjaar: 2007
Uitgever: Springer New York
540 Bladzijden
Gewicht: 0,800 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2007-06-04T13:26:35+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-02-13T16:49:45+01:00 (Amsterdam)
ISBN/EAN: 9780387941905

ISBN - alternatieve schrijfwijzen:
0-387-94190-8, 978-0-387-94190-5
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: hewitt edwin, edwin may, allen ross
Titel van het boek: 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

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Gegevens van de uitgever

Auteur: Edwin Hewitt; Kenneth A. Ross
Titel: Grundlehren der mathematischen Wissenschaften; Abstract Harmonic Analysis - Volume I: Structure of Topological Groups Integration Theory Group Representations
Uitgeverij: Springer; Springer US
525 Bladzijden
Verschijningsjaar: 1994-01-07
New York; NY; US
Taal: Engels
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.