Holdings: Convolution operators on groups

Convolution operators on groups:

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Bibliographic Details
Main Author:	Derighetti, Antoine (Author)
Format:	Book
Language:	English
Published:	Berlin ; Heidelberg Springer 2011
Series:	Lecture notes of the Unione Matematica Italiana 11
Subjects:	Faltungsoperator Lokal kompakte Gruppe Banach-Algebra
Online Access:	Inhaltstext Inhaltsverzeichnis
Item Description:	Literaturangaben
Physical Description:	XII, 171 S. 24 cm
ISBN:	9783642206559 3642206557

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adam_text	IMAGE 1 CONTENTS 1 ELEMENTARY RESULTS 1 1. 1 BASIC NOTATIONS AND BASIC DEFINITIONS 1 1.1.1 RADON MEASURES AND INTEGRATION THEORY 1 1.1.2 LOCALLY COMPACT GROUPS 3 1.1.3 CONVOLUTION OF MEASURES AND FUNCTIONS 5 1.1.4 AMENABLE GROUPS 6 1.2 CONVOLUTION OPERATORS 7 1.3 FORG ABELIAN CV 2 (G) IS ISOMORPHIC TO L(G) 12 1.4 FORG ABELIAN CV P (G) IS ISOMORPHIC TO CV P (G) 16 1.5 CV P {G) AS A SUBSPACE OF CV 2 (G) 18 1.6 THE FOURIER TRANSFORM OF A CONVOLUTION OPERATOR 20 2 THE COMMUTATION'S THEOREM 25 2.1 THE CONVOLUTION OPERATOR TX P G {F) 25 2.2 A COMMUTATION PROPERTY OF CV 2 (G) 28 2.3 AN APPROXIMATION THEOREM FOR CV 2 (G) 31 3 THE FIGA-TALAMANCA HERZ ALGEBRA 33 3.1 DEFINITION OF A P (G) 33 3.2 A 2 (G) FORG ABELIAN 39 3.3 A P (G) IS A BANACH ALGEBRA 41 4 THEDUALOFZLP(G) 45 4.1 THE DUAL OF A P (G): THE NOTION OF PSEUDOMEASURE 45 4.2 APPLICATIONS TO ABELIAN GROUPS 52 4.3 HOLOMORPHIC FUNCTIONS OPERATING ON A P (G) 56 5 CV P (G) AS A MODULE ON A P (G) 65 5.1 THE CONVOLUTION OPERATOR (K * L)T 65 5.2 THE CONVOLUTION OPERATOR UT 68 IX BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1010702955 DIGITALISIERT DURCH IMAGE 2 X CONTENTS 5.3 CV P (G) AS A MODULE ON A P (G) 75 5.4 APPROXIMATION OF T BY (K * L)T FOR AN AMENABLE G 80 6 THE SUPPORT OF A CONVOLUTION OPERATOR 85 6.1 DEFINITION OF THE SUPPORT OF A CONVOLUTION OPERATOR 85 6.2 CHARACTERIZATION OF THE SUPPORT OF A PSEUDOMEASURE 88 6.3 A GENERALIZATION OF WIENER'S THEOREM 91 6.4 AN APPROXIMATION THEOREM 94 6.5 APPLICATION TO AMENABLE GROUPS 96 7 CONVOLUTION OPERATORS SUPPORTED BY SUBGROUPS 101 7.1 THE IMAGE OF A CONVOLUTION OPERATOR 101 7.2 ON THE OPERATOR I(T) 107 7.3 A CANONICAL ISOMETRY OF CV P {H) INTO CV P {G) 112 7.4 THE SUPPORT OF/ (T) 118 7.5 THEOREMS OF DE LEEUW AND SAEKI 122 7.6 THE IMAGE OF THE MAP / 124 7.7 FIRST APPLICATIONS: THE THEOREM OF KAPLANSKY-HELSON 133 7.8 A RESTRICTION PROPERTY FOR A P 136 7.9 SUBGROUPS AS SETS OF SYNTHESIS 141 8 C V P (G) AS A SUBSPACE OF CV 2 (G) 145 8.1 A CANONICAL MAP OF C(U(X, /*)) INTO C(L^(X,FI)) 145 8.2 AN INTEGRAL FORMULA FOR (TX P G (A)) L2(G) 150 8.3 C V 2 (G) AND C V P (G) IN AMENABLE GROUPS 156 NOTES 161 REFERENCES 167 LIST OF DEFINITIONS 171
any_adam_object	1
author	Derighetti, Antoine
author_GND	(DE-588)124599109
author_facet	Derighetti, Antoine
author_role	aut
author_sort	Derighetti, Antoine
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ctrlnum	(OCoLC)725042775 (DE-599)DNB1010702955
dewey-full	515.785 512.55
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis 512 - Algebra
dewey-raw	515.785 512.55
dewey-search	515.785 512.55
dewey-sort	3515.785
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
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isbn	9783642206559 3642206557
language	English
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physical	XII, 171 S. 24 cm
publishDate	2011
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publisher	Springer
record_format	marc
series	Lecture notes of the Unione Matematica Italiana
series2	Lecture notes of the Unione Matematica Italiana
spelling	Derighetti, Antoine Verfasser (DE-588)124599109 aut Convolution operators on groups Antoine Derighetti Berlin ; Heidelberg Springer 2011 XII, 171 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes of the Unione Matematica Italiana 11 Literaturangaben Faltungsoperator (DE-588)4388315-1 gnd rswk-swf Lokal kompakte Gruppe (DE-588)4168094-7 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 gnd rswk-swf Lokal kompakte Gruppe (DE-588)4168094-7 s Faltungsoperator (DE-588)4388315-1 s Banach-Algebra (DE-588)4193187-7 s DE-604 Erscheint auch als Online-Ausgabe Convolution Operators on Groups Lecture notes of the Unione Matematica Italiana 11 (DE-604)BV022297190 11 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3705642&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024399144&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Derighetti, Antoine Convolution operators on groups Lecture notes of the Unione Matematica Italiana Faltungsoperator (DE-588)4388315-1 gnd Lokal kompakte Gruppe (DE-588)4168094-7 gnd Banach-Algebra (DE-588)4193187-7 gnd
subject_GND	(DE-588)4388315-1 (DE-588)4168094-7 (DE-588)4193187-7
title	Convolution operators on groups
title_auth	Convolution operators on groups
title_exact_search	Convolution operators on groups
title_full	Convolution operators on groups Antoine Derighetti
title_fullStr	Convolution operators on groups Antoine Derighetti
title_full_unstemmed	Convolution operators on groups Antoine Derighetti
title_short	Convolution operators on groups
title_sort	convolution operators on groups
topic	Faltungsoperator (DE-588)4388315-1 gnd Lokal kompakte Gruppe (DE-588)4168094-7 gnd Banach-Algebra (DE-588)4193187-7 gnd
topic_facet	Faltungsoperator Lokal kompakte Gruppe Banach-Algebra
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3705642&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024399144&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV022297190
work_keys_str_mv	AT derighettiantoine convolutionoperatorsongroups

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