Stochastic Spectral Theory for Selfadjoint Feller Operators: A functional integration approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2000
|
| Schriftenreihe: | Probability and Its Applications
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | A beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. For such operators regular and singular perturbations of order zero and their spectral properties are investigated. A complete treatment of the Feynman-Kac formula is given. The theory is applied to such topics as compactness or trace class properties of differences of Feynman-Kac semigroups, preservation of absolutely continuous and/or essential spectra and completeness of scattering systems. The unified approach provides a new viewpoint of and a deeper insight into the subject. The book is aimed at advanced students and researchers in mathematical physics and mathematics with an interest in quantum physics, scattering theory, heat equation, operator theory, probability theory and spectral theory |
| Beschreibung: | 1 Online-Ressource (XII, 463 p) |
| ISBN: | 9783034884600 9783034895774 |
| DOI: | 10.1007/978-3-0348-8460-0 |
Internformat
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| 100 | 1 | |a Demuth, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stochastic Spectral Theory for Selfadjoint Feller Operators |b A functional integration approach |c by Michael Demuth, Jan A. Casteren |
| 264 | 1 | |a Basel |b Birkhäuser Basel |c 2000 | |
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| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Operator theory | |
| 650 | 4 | |a Distribution (Probability theory) | |
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Datensatz im Suchindex
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| author | Demuth, Michael |
| author_facet | Demuth, Michael |
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| 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 |
| doi_str_mv | 10.1007/978-3-0348-8460-0 |
| format | Electronic eBook |
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| id | DE-604.BV042422139 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034884600 9783034895774 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857556 |
| oclc_num | 1184454848 |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XII, 463 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2000 |
| publishDateSearch | 2000 |
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| publisher | Birkhäuser Basel |
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| series2 | Probability and Its Applications |
| spelling | Demuth, Michael Verfasser aut Stochastic Spectral Theory for Selfadjoint Feller Operators A functional integration approach by Michael Demuth, Jan A. Casteren Basel Birkhäuser Basel 2000 1 Online-Ressource (XII, 463 p) txt rdacontent c rdamedia cr rdacarrier Probability and Its Applications A beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. For such operators regular and singular perturbations of order zero and their spectral properties are investigated. A complete treatment of the Feynman-Kac formula is given. The theory is applied to such topics as compactness or trace class properties of differences of Feynman-Kac semigroups, preservation of absolutely continuous and/or essential spectra and completeness of scattering systems. The unified approach provides a new viewpoint of and a deeper insight into the subject. The book is aimed at advanced students and researchers in mathematical physics and mathematics with an interest in quantum physics, scattering theory, heat equation, operator theory, probability theory and spectral theory Mathematics Operator theory Distribution (Probability theory) Probability Theory and Stochastic Processes Operator Theory Mathematik Feller-Operator (DE-588)4614246-0 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Feller-Operator (DE-588)4614246-0 s Spektraltheorie (DE-588)4116561-5 s 1\p DE-604 Casteren, Jan A. Sonstige oth https://doi.org/10.1007/978-3-0348-8460-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Demuth, Michael Stochastic Spectral Theory for Selfadjoint Feller Operators A functional integration approach Mathematics Operator theory Distribution (Probability theory) Probability Theory and Stochastic Processes Operator Theory Mathematik Feller-Operator (DE-588)4614246-0 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| subject_GND | (DE-588)4614246-0 (DE-588)4116561-5 |
| 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 by Michael Demuth, Jan A. Casteren |
| title_fullStr | Stochastic Spectral Theory for Selfadjoint Feller Operators A functional integration approach by Michael Demuth, Jan A. Casteren |
| title_full_unstemmed | Stochastic Spectral Theory for Selfadjoint Feller Operators A functional integration approach by Michael Demuth, Jan A. Casteren |
| 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 | Mathematics Operator theory Distribution (Probability theory) Probability Theory and Stochastic Processes Operator Theory Mathematik Feller-Operator (DE-588)4614246-0 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| topic_facet | Mathematics Operator theory Distribution (Probability theory) Probability Theory and Stochastic Processes Operator Theory Mathematik Feller-Operator Spektraltheorie |
| url | https://doi.org/10.1007/978-3-0348-8460-0 |
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