Introduction to the theory of (non-symmetric) Dirichlet forms:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
[1992]
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 209 Seiten |
| ISBN: | 0387558489 3540558489 9783540558484 |
Staff View
MARC
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| 100 | 1 | |a Ma, Zhi-Ming |d 1948- |0 (DE-588)121250105 |4 aut | |
| 245 | 1 | 0 | |a Introduction to the theory of (non-symmetric) Dirichlet forms |c Zhi-Ming Ma ; Michael Röckner |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c [1992] | |
| 264 | 4 | |c © 1992 | |
| 300 | |a 209 Seiten | ||
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| 650 | 7 | |a Dirichlet-vormen |2 gtt | |
| 650 | 7 | |a Markov-processen |2 gtt | |
| 650 | 4 | |a Dirichlet forms | |
| 650 | 4 | |a Markov processes | |
| 650 | 0 | 7 | |a Dirichletsche Form |0 (DE-588)4150137-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dirichletsche Form |0 (DE-588)4150137-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Röckner, Michael |d 1956- |0 (DE-588)121250199 |4 aut | |
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Record in the Search Index
| _version_ | 1810716522268590080 |
|---|---|
| adam_text |
Contents
0 Introduction 1
1 Functional Analytic Background 7
1 Resolvents, semigroups, generators 7
2 Coercive bilinear forms 15
3 Closability 28
4 Contraction properties 31
5 Notes/References 40
II Examples 41
1 Starting point: operator 41
2 Starting point: bilinear form - finite dimensional case 43
3 Starting point: bilinear form - infinite dimensional case 54
4 Starting point: semigroup of kernels 62
5 Starting point: resolvent of kernels 66
6 Notes/References 69
IIIAnalytic Potential Theory of Dirichlet Forms 71
1 Excessive functions and balayage 71
2 f-exceptional sets and capacities 75
3 Quasi-continuity 80
4 Notes/References 85
IV Markov Processes and Dirichlet Forms 87
1 Basics on Markov processes 87
2 Association of right processes and Dirichlet forms 97
3 Quasi-regularity and the construction of the process 101
4 Examples of quasi-regular Dirichlet forms 118
5 Necessity of quasi-regularity and some probabilistic potential the¬
ory 127
6 One-to-one correspondences 140
Contents
7 Notes/References 144
V Characterization of Particular Processes 147
1 Local property and diffusions 147
2 A new capacity and Hunt processes 154
3 Notes/References 172
VI Regularization 173
1 Local compactification 173
2 Consequences - the transfer method 178
3 Notes/References 181
A Some Complements 183
1 Adjoint operators 183
2 The Banach/Alaoglu and Banach/Saks theorems 184
3 Supplement on Ray resolvents and right processes 185
Bibliography 195
Index 205 |
| any_adam_object | 1 |
| author | Ma, Zhi-Ming 1948- Röckner, Michael 1956- |
| author_GND | (DE-588)121250105 (DE-588)121250199 |
| author_facet | Ma, Zhi-Ming 1948- Röckner, Michael 1956- |
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| ctrlnum | (OCoLC)26351380 (DE-599)BVBBV005771985 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005771985 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-20T12:04:01Z |
| institution | BVB |
| isbn | 0387558489 3540558489 9783540558484 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003606253 |
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| physical | 209 Seiten |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Ma, Zhi-Ming 1948- (DE-588)121250105 aut Introduction to the theory of (non-symmetric) Dirichlet forms Zhi-Ming Ma ; Michael Röckner Berlin [u.a.] Springer [1992] © 1992 209 Seiten txt rdacontent n rdamedia nc rdacarrier Universitext Dirichlet-vormen gtt Markov-processen gtt Dirichlet forms Markov processes Dirichletsche Form (DE-588)4150137-8 gnd rswk-swf Dirichletsche Form (DE-588)4150137-8 s DE-604 Röckner, Michael 1956- (DE-588)121250199 aut Erscheint auch als Online-Ausgabe 978-3-642-77739-4 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003606253&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ma, Zhi-Ming 1948- Röckner, Michael 1956- Introduction to the theory of (non-symmetric) Dirichlet forms Dirichlet-vormen gtt Markov-processen gtt Dirichlet forms Markov processes Dirichletsche Form (DE-588)4150137-8 gnd |
| subject_GND | (DE-588)4150137-8 |
| title | Introduction to the theory of (non-symmetric) Dirichlet forms |
| title_auth | Introduction to the theory of (non-symmetric) Dirichlet forms |
| title_exact_search | Introduction to the theory of (non-symmetric) Dirichlet forms |
| title_full | Introduction to the theory of (non-symmetric) Dirichlet forms Zhi-Ming Ma ; Michael Röckner |
| title_fullStr | Introduction to the theory of (non-symmetric) Dirichlet forms Zhi-Ming Ma ; Michael Röckner |
| title_full_unstemmed | Introduction to the theory of (non-symmetric) Dirichlet forms Zhi-Ming Ma ; Michael Röckner |
| title_short | Introduction to the theory of (non-symmetric) Dirichlet forms |
| title_sort | introduction to the theory of non symmetric dirichlet forms |
| topic | Dirichlet-vormen gtt Markov-processen gtt Dirichlet forms Markov processes Dirichletsche Form (DE-588)4150137-8 gnd |
| topic_facet | Dirichlet-vormen Markov-processen Dirichlet forms Markov processes Dirichletsche Form |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003606253&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT mazhiming introductiontothetheoryofnonsymmetricdirichletforms AT rocknermichael introductiontothetheoryofnonsymmetricdirichletforms |