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Field name	Details
Dewey Class	515.7
Title	Abstract Harmonic Analysis ([EBook]) : Volume I Structure of Topological Groups Integration Theory Group Representations / by Edwin Hewitt, Kenneth A. Ross
Author	Hewitt, Edwin , 1920-1999
Added Personal Name	Ross, Kenneth A. , 1936-
Other name(s)	SpringerLink (Online service)
Edition statement	Second Edition
Publication	New York, NY : Springer , 1979
Physical Details	IX, 525 pages : 17 illus. : online resource.
Series	Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 0072-7830 ; ; 115
ISBN	9781441986382
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4419-8638-2
Links to Related Works	Subject References: Functional Analysis . Functions of real variables . Group theory . Group Theory and Generalizations . Mathematics . Real Functions . Authors: author . Hewitt, Edwin 1920-1999 . Ross, Kenneth A. 1936- . Corporate Authors: SpringerLink (Online service) . Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics . Classification: 515.7 .

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

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