Semi-Dirichlet Forms and Markov Processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
De Gruyter
2013
|
| Schriftenreihe: | De Gruyter Studies in Mathematics
48 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Weitere Ausg.: Online-Ausg. |
| Beschreibung: | X, 284 S. |
| ISBN: | 3110302004 9783110302004 9783110302073 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
PREFACE VII
1 DIRICHLET FORMS 1
1.1 SEMI-DIRICHLET FORMS AND RESOLVENTS 1
1.2 CLOSABILITY AND REGULAR DIRICHLET FORMS 9
1.3 TRANSIENCE AND RECURRENCE OF DIRICHLET FORMS 12
1.4 AN AUXILIARY BILINEAR FORM 20
1.5 EXAMPLES 30
1.5.1 DIFFUSION CASE 30
1.5.2 JUMP TYPE CASE 36
2 SOME ANALYTIC PROPERTIES O F DIRICHLET FORMS 43
2.1 CAPACITY 43
2.2 QUASI-CONTINUITY 51
2.3 POTENTIAL O F MEASURES 55
2.4 AN ORTHOGONAL DECOMPOSITION O F THE DIRICHLET FORMS 60
3 MARKOV PROCESSES 72
3.1 HUNT PROCESSES 72
3.2 EXCESSIVE FUNCTIONS AND NEGLIGIBLE SETS 76
3.3 HUNT PROCESSES ASSOCIATED WITH A REGULAR DIRICHLET FORM 80
3.4 NEGLIGIBLE SETS FOR HUNT PROCESSES 89
3.5 DECOMPOSITIONS O F DIRICHLET FORMS 94
4 ADDITIVE FUNCTIONALS AND SMOOTH MEASURES 112
4.1 POSITIVE CONTINUOUS ADDITIVE FUNCTIONALS 112
4.2 DUAL PCAFS AND DUALITY RELATIONS 128
4.3 TIME CHANGES AND KILLINGS 138
5 MARTINGALE AFS AND AFS OF ZERO ENERGY 149
5.1 FUKUSHIMA'S DECOMPOSITION O F AFS 149
5.1.1 AFS GENERATED BY FUNCTIONS O F !F 151
HTTP://D-NB.INFO/1030085749
IMAGE 2
X CONTENTS
5.1.2 MARTINGALE ADDITIVE FUNCTIONALS O F FINITE ENERGY 152
5.1.3 CAFS OF ZERO ENERGY 154
5.2 BEURLING-DENY TYPE DECOMPOSITION 169
5.3 CAFS O F LOCALLY ZERO ENERGY IN THE WEAK SENSE 179
5.4 MARTINGALE AFS OF STRONGLY LOCAL DIRICHLET FORMS 190
5.5 TRANSFORMATIONS BY MULTIPLICATIVE FUNCTIONALS 203
5.6 CONSERVATIVENESS AND RECURRENCE O F DIRICHLET FORMS 208
6 TIME DEPENDENT DIRICHLET FORMS 215
6.1 TIME DEPENDENT DIRICHLET FORMS AND ASSOCIATED RESOLVENTS 215
6.2 A PARABOLIC POTENTIAL THEORY 224
6.3 ASSOCIATED SPACE-TIME PROCESSES 239
6.4 ADDITIVE FUNCTIONALS AND ASSOCIATED MEASURES 248
6.5 SOME STOCHASTIC CALCULUS 259
NOTES 267
BIBLIOGRAPHY 272
INDEX 283 |
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| author | Ōshima, Yōichi |
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| author_facet | Ōshima, Yōichi |
| author_role | aut |
| author_sort | Ōshima, Yōichi |
| author_variant | y ō yō |
| building | Verbundindex |
| bvnumber | BV040979604 |
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| dewey-full | 519.233 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.233 |
| dewey-search | 519.233 |
| dewey-sort | 3519.233 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| series | De Gruyter Studies in Mathematics |
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| spelling | Ōshima, Yōichi Verfasser (DE-588)114266425 aut Semi-Dirichlet Forms and Markov Processes Yoichi Oshima Berlin [u.a.] De Gruyter 2013 X, 284 S. txt rdacontent n rdamedia nc rdacarrier De Gruyter Studies in Mathematics 48 Weitere Ausg.: Online-Ausg. Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Dirichletsche Form (DE-588)4150137-8 gnd rswk-swf Markov-Prozess (DE-588)4134948-9 s Dirichletsche Form (DE-588)4150137-8 s DE-604 Erscheint auch als Online-Ausgabe 978-3-11-030206-6 De Gruyter Studies in Mathematics 48 (DE-604)BV000005407 48 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4240889&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=025957628&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ōshima, Yōichi Semi-Dirichlet Forms and Markov Processes De Gruyter Studies in Mathematics Markov-Prozess (DE-588)4134948-9 gnd Dirichletsche Form (DE-588)4150137-8 gnd |
| subject_GND | (DE-588)4134948-9 (DE-588)4150137-8 |
| title | Semi-Dirichlet Forms and Markov Processes |
| title_auth | Semi-Dirichlet Forms and Markov Processes |
| title_exact_search | Semi-Dirichlet Forms and Markov Processes |
| title_full | Semi-Dirichlet Forms and Markov Processes Yoichi Oshima |
| title_fullStr | Semi-Dirichlet Forms and Markov Processes Yoichi Oshima |
| title_full_unstemmed | Semi-Dirichlet Forms and Markov Processes Yoichi Oshima |
| title_short | Semi-Dirichlet Forms and Markov Processes |
| title_sort | semi dirichlet forms and markov processes |
| topic | Markov-Prozess (DE-588)4134948-9 gnd Dirichletsche Form (DE-588)4150137-8 gnd |
| topic_facet | Markov-Prozess Dirichletsche Form |
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