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Integration structures:

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Bibliographic Details
Main Author:	Kluvánek, Igor (Author)
Format:	Book
Language:	English
Published:	[Canberra] Centre for Mathematical Analysis, Australian National University 1988
Series:	Proceedings of the Centre for Mathematical Analysis, Australian National University 18
Subjects:	Intégrales généralisées Mesure, Théorie de la Mesures vectorielles Integrals, Generalized Measure theory Vector-valued measures
Online Access:	Inhaltsverzeichnis
Physical Description:	IX, 209 S.
ISBN:	0731504283

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MARC


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adam_text	CONTENTS Preface (vi) List of Symbols (viii) 0. BY WAY OF INTRODUCTION 1 A. Homogeneous isotropic diffusion 1 B. Chemical reaction 6 C. Superposition of diffusion and reaction 9 D. Superposition of semigroups 13 E. Comments on the Feynman integral 20 F. Stieltjes integral 23 G. A general outline of the approach 24 1. PRELIMINARIES, NOTATION, CONVENTIONS 29 A. Summation of sequences 29 B. Continuous linear maps 31 C. Tensor products 34 D. Families of sets and functions 37 E. Additive set functions 40 F. Countably additive set functions 43 G. Young functions 47 2. INTEGRATING GAUGES 50 A. Integrable functions 51 B. Negligible sets and functions 54 C. Spaces of integrable functions 56 D. Integrating gauges 57 E. Daniell integrals 61 F. Constructions of integrating gauges 64 G. Vector lattices 66 H. Direct sums of integrating gauges 69 J. Very sub additive regular gauges 71 K. Functions of integrating gauges 73 3. INTEGRALS 77 A. The definition 77 B. Classical measures 80 C. Orlicz spaces 85 D. Sobolev spaces 92 E. Hardy spaces 94 F. Vector measures 99 G. Stieltjes integrals 103 4. SET FUNCTIONS 107 A. Generalized variations 107 B. Estimation by a measure 112 C. Spaces of integrable functions 116 D. Conditions for integrability 121 E. Indeficient set functions 124 F. Conditions for indeficiency 130 G. Scalar valued set functions 134 H. Examples 136 J. Spaces of set functions 138 K. ^ scattered set functions 142 5. VECTOR VALUED FUNCTIONS AND PRODUCTS 145 A. Bochner integrable functions 145 B. The bilinear integral 148 C. Products of integrating gauges 150 D. Tensor products 152 E. The Fubini theorem 155 F. The Tonelli theorem 157 6. SCALAR OPERATORS 160 A. Spectral set functions 161 B. Negligible sets and functions 164 C. Integration 166 D. Closable spectral set functions 169 E. Scalar operators 171 F. The Fourier multipliers 174 G. The Stone theorem 176 7. SUPERPOSITION OF EVOLUTIONS 181 A. The set up 181 B. The Feynman Kac formula 185 C. Dynamical systems 189 D. The Poisson semigroup 193 E. The Schrodinger group 196 References 201 Index 205
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illustrated	Not Illustrated
indexdate	2024-07-09T19:00:42Z
institution	BVB
isbn	0731504283
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physical	IX, 209 S.
publishDate	1988
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publisher	Centre for Mathematical Analysis, Australian National University
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series	Proceedings of the Centre for Mathematical Analysis, Australian National University
series2	Proceedings of the Centre for Mathematical Analysis, Australian National University
spelling	Kluvánek, Igor Verfasser aut Integration structures Igor Kluvánek [Canberra] Centre for Mathematical Analysis, Australian National University 1988 IX, 209 S. txt rdacontent n rdamedia nc rdacarrier Proceedings of the Centre for Mathematical Analysis, Australian National University 18 Intégrales généralisées ram Mesure, Théorie de la ram Mesures vectorielles ram Integrals, Generalized Measure theory Vector-valued measures Proceedings of the Centre for Mathematical Analysis, Australian National University 18 (DE-604)BV004402052 18 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009784851&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Kluvánek, Igor Integration structures Proceedings of the Centre for Mathematical Analysis, Australian National University Intégrales généralisées ram Mesure, Théorie de la ram Mesures vectorielles ram Integrals, Generalized Measure theory Vector-valued measures
title	Integration structures
title_auth	Integration structures
title_exact_search	Integration structures
title_full	Integration structures Igor Kluvánek
title_fullStr	Integration structures Igor Kluvánek
title_full_unstemmed	Integration structures Igor Kluvánek
title_short	Integration structures
title_sort	integration structures
topic	Intégrales généralisées ram Mesure, Théorie de la ram Mesures vectorielles ram Integrals, Generalized Measure theory Vector-valued measures
topic_facet	Intégrales généralisées Mesure, Théorie de la Mesures vectorielles Integrals, Generalized Measure theory Vector-valued measures
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009784851&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV004402052
work_keys_str_mv	AT kluvanekigor integrationstructures

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