Integration structures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
[Canberra]
Centre for Mathematical Analysis, Australian National University
1988
|
| Schriftenreihe: | Proceedings of the Centre for Mathematical Analysis, Australian National University
18 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 209 S. |
| ISBN: | 0731504283 |
Internformat
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| 264 | 1 | |a [Canberra] |b Centre for Mathematical Analysis, Australian National University |c 1988 | |
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| 650 | 7 | |a Mesure, Théorie de la |2 ram | |
| 650 | 7 | |a Mesures vectorielles |2 ram | |
| 650 | 4 | |a Integrals, Generalized | |
| 650 | 4 | |a Measure theory | |
| 650 | 4 | |a Vector-valued measures | |
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Datensatz im Suchindex
| _version_ | 1804129158722224128 |
|---|---|
| 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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| ctrlnum | (OCoLC)20188196 (DE-599)BVBBV014266489 |
| dewey-full | 515.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.4 |
| dewey-search | 515.4 |
| dewey-sort | 3515.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014266489 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:00:42Z |
| institution | BVB |
| isbn | 0731504283 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009784851 |
| oclc_num | 20188196 |
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| owner_facet | DE-19 DE-BY-UBM DE-188 |
| physical | IX, 209 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Centre for Mathematical Analysis, Australian National University |
| record_format | marc |
| 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 |
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