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Abstract harmonic analysis: 1 Structure of topological groups, integration theory, group representations

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Bibliographic Details
Main Authors:	Hewitt, Edwin 1920-1999 (Author), Ross, Kenneth A. 1936- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 1979
Edition:	Second edition
Series:	Grundlehren der mathematischen Wissenschaften 115
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005571392&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	VIII, 519 Seiten

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Record in the Search Index

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adam_text	Table of Contents Page Prefaces V Chapter One: Preliminaries 1 Section 1. Notation and terminology 1 Section 2. Group theory 3 Section 3. Topology 9 Chapter Two: Elements of the theory of topological groups 15 Section 4. Basic definitions and facts 16 Section 5 Subgroups and quotient groups 32 Section 6. Product groups and projective limits 52 Section 7. Properties of topological groups involving connectedness . . 60 Section 8. Invariant pseudo metrics and separation axioms 67 Section 9. Structure theory for compact and locally compact Abelian groups 83 Section 10. Some special locally compact Abelian groups 106 Chapter Three: Integration on locally compact spaces 117 Section 11. Extension of a linear functional and construction of a measure 118 Section 12. The spaces 2p(X) (1^, p g 00) 135 Section 13. Integration on product spaces 150 Section 14. Complex measures 166 Chapter Four: Invariant functionals 184 Section 15. The Haar integral . 184 Section 16. More about Haar measure 215 Section 17. Invariant means defined for all bounded functions 230 Section 18. Invariant means on almost periodic functions 245 Chapter Five: Convolutions and group representations 261 Section 19. Introduction to convolutions 262 Section 20. Convolutions of functions and measures 283 Section 21. Introduction to representation theory 311 Section 22. Unitary representations of locally compact groups 335 Chapter Six: Characters and duality of locally compact Abelian groups . . .355 Section 23. The character group of a locally compapt Abelian group . 355 Section 24. The duality theorem 376 Section 25. Special structure theorems 399 Section 26. Miscellaneous consequences of the duality theorem 426 Appendix A: Abelian groups 439 B: Topological linear spaces 451 C: Introduction to normed algebras 469 Bibliography 492 Index of symbols 506 Index of authors and terms 509
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author	Hewitt, Edwin 1920-1999 Ross, Kenneth A. 1936-
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dewey-tens	510 - Mathematics
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illustrated	Not Illustrated
indexdate	2024-12-20T09:21:55Z
institution	BVB
language	English
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physical	VIII, 519 Seiten
publishDate	1979
publishDateSearch	1979
publishDateSort	1979
publisher	Springer
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series	Grundlehren der mathematischen Wissenschaften
series2	Grundlehren der mathematischen Wissenschaften Grundlehren der mathematischen Wissenschaften.
spellingShingle	Hewitt, Edwin 1920-1999 Ross, Kenneth A. 1936- Abstract harmonic analysis Grundlehren der mathematischen Wissenschaften
title	Abstract harmonic analysis
title_auth	Abstract harmonic analysis
title_exact_search	Abstract harmonic analysis
title_full	Abstract harmonic analysis 1 Structure of topological groups, integration theory, group representations Edwin Hewitt ; Kenneth A. Ross
title_fullStr	Abstract harmonic analysis 1 Structure of topological groups, integration theory, group representations Edwin Hewitt ; Kenneth A. Ross
title_full_unstemmed	Abstract harmonic analysis 1 Structure of topological groups, integration theory, group representations Edwin Hewitt ; Kenneth A. Ross
title_short	Abstract harmonic analysis
title_sort	abstract harmonic analysis structure of topological groups integration theory group representations
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005571392&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000926048 (DE-604)BV000000395
work_keys_str_mv	AT hewittedwin abstractharmonicanalysis1 AT rosskennetha abstractharmonicanalysis1

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