Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2000
|
| Schriftenreihe: | Probability and its applications
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008995500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XII, 463 S. |
| ISBN: | 9783764358877 3764358874 |
Internformat
MARC
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|---|---|---|---|
| 001 | BV013202659 | ||
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| 100 | 1 | |a Demuth, Michael |d 1946- |e Verfasser |0 (DE-588)130367478 |4 aut | |
| 245 | 1 | 0 | |a Stochastic spectral theory for selfadjoint Feller operators |b a functional integration approach |c Michael Demuth ; Jan. A. VanCasteren |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2000 | |
| 300 | |a XII, 463 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Probability and its applications | |
| 650 | 7 | |a Spectraaltheorie |2 gtt | |
| 650 | 7 | |a Stochastische analyse |2 gtt | |
| 650 | 4 | |a Selfadjoint operators | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 4 | |a Stochastic analysis | |
| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Feller-Operator |0 (DE-588)4614246-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Feller-Operator |0 (DE-588)4614246-0 |D s |
| 689 | 0 | 1 | |a Spektraltheorie |0 (DE-588)4116561-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Van Casteren, Jan A. |d 1943- |e Verfasser |0 (DE-588)114262721 |4 aut | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008995500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008995500 | |
Datensatz im Suchindex
| DE-BY-UBR_call_number | 80/SK 620 D389 F3 807/SK 620 D389 F3 |
|---|---|
| DE-BY-UBR_katkey | 3056487 |
| DE-BY-UBR_location | UB Lesesaal Mathematik UB Handapparat Mathematik Prof. Hackenbroch |
| DE-BY-UBR_media_number | 069030214228 TEMP11674103 |
| _version_ | 1835101849650200576 |
| adam_text | Contents
Preface vii
A readers guideline x
Acknowledgement xi
Chapter 1
Basic Assumptions of Stochastic Spectral Analysis:
Free Feller Operators 1
A Introduction 1
B Assumptions and Free Feller Generators 5
C Examples 11
D Heat kernels 25
E Summary of Schrodinger semigroup theory 33
E.I Gaussian processes 33
E.2 Brownian motion and related processes 39
E.3 Kato Feller potentials for the Laplace operator 47
E.4 Schrodinger semigroups 49
E.5 Generalizations and modifications 51
Chapter 2
Perturbations of Free Feller Operators 53
The framework of stochastic spectral analysis 56
A Regular perturbations 57
B Integral kernels, martingales, pinned measures 76
C Singular perturbations 87
Chapter 3
Proof of Continuity and Symmetry of Feynman Kac Kernels 103
Chapter 4
Resolvent and Semigroup Differences for Feller Operators:
Operator Norms 129
A Regular perturbations 129
B Singular perturbations 145
— v —
vi CONTENTS
Chapter 5
Hilbert Schmidt Properties of Resolvent and
Semigroup Differences 161
A Regular perturbations 161
B Singular perturbations 182
Chapter 6
Trace Class Properties of Semigroup Differences 205
A General trace class criteria 205
B Regular perturbations 210
C Singular perturbations 217
Chapter 7
Convergence of Resolvent Differences 233
Chapter 8
Spectral Properties of Self adjoint Feller Operators 257
A Qualitative spectral results 259
B Quantitative estimates for regular potentials 281
C Quantitative estimates for singular potentials in terms of the
weighted Laplace transform of the occupation time
(for large coupling parameters) 309
C.I Estimates for the Laplace transform of the occupation
time for Wiener processes 314
C.2 Quantitative large coupling estimates for Feller operators
in terms of the weighted Laplace transform of
the occupation time 318
Appendix A Spectral Theory 333
Appendix B Semigroup Theory 345
Appendix C Markov Processes, Martingales and Stopping Times 353
Appendix D Dirichlet Kernels, Harmonic Measures, Capacities 373
D.I Continuity and symmetry of Dirichlet kernels 374
D.2 Harmonic measures and equilibrium potentials 393
D.3 Capacities 405
Appendix E
Dini s Lemma, Scheffe s Theorem, Monotone Class Theorem 423
References 427
Index of Symbols 441
Subject Index 451
|
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/246 |
| dewey-search | 515.7/246 |
| dewey-sort | 3515.7 3246 |
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| discipline | Mathematik |
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| id | DE-604.BV013202659 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:42:54Z |
| institution | BVB |
| isbn | 9783764358877 3764358874 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008995500 |
| oclc_num | 44425478 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-634 DE-11 DE-188 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-634 DE-11 DE-188 DE-83 |
| physical | XII, 463 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Probability and its applications |
| spellingShingle | Demuth, Michael 1946- Van Casteren, Jan A. 1943- Stochastic spectral theory for selfadjoint Feller operators a functional integration approach Spectraaltheorie gtt Stochastische analyse gtt Selfadjoint operators Spectral theory (Mathematics) Stochastic analysis Spektraltheorie (DE-588)4116561-5 gnd Feller-Operator (DE-588)4614246-0 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4614246-0 |
| title | Stochastic spectral theory for selfadjoint Feller operators a functional integration approach |
| title_auth | Stochastic spectral theory for selfadjoint Feller operators a functional integration approach |
| title_exact_search | Stochastic spectral theory for selfadjoint Feller operators a functional integration approach |
| title_full | Stochastic spectral theory for selfadjoint Feller operators a functional integration approach Michael Demuth ; Jan. A. VanCasteren |
| title_fullStr | Stochastic spectral theory for selfadjoint Feller operators a functional integration approach Michael Demuth ; Jan. A. VanCasteren |
| title_full_unstemmed | Stochastic spectral theory for selfadjoint Feller operators a functional integration approach Michael Demuth ; Jan. A. VanCasteren |
| title_short | Stochastic spectral theory for selfadjoint Feller operators |
| title_sort | stochastic spectral theory for selfadjoint feller operators a functional integration approach |
| title_sub | a functional integration approach |
| topic | Spectraaltheorie gtt Stochastische analyse gtt Selfadjoint operators Spectral theory (Mathematics) Stochastic analysis Spektraltheorie (DE-588)4116561-5 gnd Feller-Operator (DE-588)4614246-0 gnd |
| topic_facet | Spectraaltheorie Stochastische analyse Selfadjoint operators Spectral theory (Mathematics) Stochastic analysis Spektraltheorie Feller-Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008995500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT demuthmichael stochasticspectraltheoryforselfadjointfelleroperatorsafunctionalintegrationapproach AT vancasterenjana stochasticspectraltheoryforselfadjointfelleroperatorsafunctionalintegrationapproach |