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＜電子ブック＞
Abstract Harmonic Analysis : Volume I: Structure of Topological Groups Integration Theory Group Representations / by Edwin Hewitt, Kenneth A. Ross
(Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics. ISSN:21969701 ; 115)

版	2nd ed. 1979.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1979
大きさ	IX, 525 p. 17 illus : online resource
著者標目	*Hewitt, Edwin author Ross, Kenneth A author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Group theory LCSH:Functions of real variables FREE:Functional Analysis FREE:Group Theory and Generalizations FREE:Real Functions
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4419-8638-2

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