Bernstein functions: theory and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
W. De Gruyter
©2010
|
| Schriftenreihe: | De Gruyter studies in mathematics
37 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Illustrations on p.3 of cover Includes bibliographical references (pages 291-308) and index Frontmatter; Contents; 1 Completely monotone functions; 2 Stieltjes functions; 3 Bernstein functions; 4 Positive and negative definite functions; 5 A probabilistic intermezzo; 6 Complete Bernstein functions: representation; 7 Complete Bernstein functions: properties; 8 Thorin-Bernstein functions; 9 A second probabilistic intermezzo; 10 Special Bernstein functions and potentials; 11 The spectral theorem and operator monotonicity; 12 Subordination and Bochner's functional calculus; 13 Potential theory of subordinate killed Brownian motion; 14 Applications to generalized diffusions This text is a self-contained and unified approach to Bernstein functions and their subclasses, bringing together old and establishing new connections. Applications of Bernstein functions in different fields of mathematics are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. A self-contained and unified approach to the topic With applications to various fields of mathematics, such as probability theory, potential theory, operator theory, integral equations, functional calculi and co |
| Beschreibung: | 1 Online-Ressource (xi, 313 pages) |
| ISBN: | 3110215314 9783110215311 |
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| 490 | 0 | |a De Gruyter studies in mathematics |v 37 | |
| 500 | |a Illustrations on p.3 of cover | ||
| 500 | |a Includes bibliographical references (pages 291-308) and index | ||
| 500 | |a Frontmatter; Contents; 1 Completely monotone functions; 2 Stieltjes functions; 3 Bernstein functions; 4 Positive and negative definite functions; 5 A probabilistic intermezzo; 6 Complete Bernstein functions: representation; 7 Complete Bernstein functions: properties; 8 Thorin-Bernstein functions; 9 A second probabilistic intermezzo; 10 Special Bernstein functions and potentials; 11 The spectral theorem and operator monotonicity; 12 Subordination and Bochner's functional calculus; 13 Potential theory of subordinate killed Brownian motion; 14 Applications to generalized diffusions | ||
| 500 | |a This text is a self-contained and unified approach to Bernstein functions and their subclasses, bringing together old and establishing new connections. Applications of Bernstein functions in different fields of mathematics are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. A self-contained and unified approach to the topic With applications to various fields of mathematics, such as probability theory, potential theory, operator theory, integral equations, functional calculi and co | ||
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Datensatz im Suchindex
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| author | Schilling, René L. |
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| author_sort | Schilling, René L. |
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| bvnumber | BV043138953 |
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| ctrlnum | (OCoLC)651047685 (DE-599)BVBBV043138953 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043138953 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:38Z |
| institution | BVB |
| isbn | 3110215314 9783110215311 |
| language | English |
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| oclc_num | 651047685 |
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| physical | 1 Online-Ressource (xi, 313 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2010 |
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| spelling | Schilling, René L. Verfasser aut Bernstein functions theory and applications René L. Schilling, Renming Song, Zoran Vondraček Berlin W. De Gruyter ©2010 1 Online-Ressource (xi, 313 pages) txt rdacontent c rdamedia cr rdacarrier De Gruyter studies in mathematics 37 Illustrations on p.3 of cover Includes bibliographical references (pages 291-308) and index Frontmatter; Contents; 1 Completely monotone functions; 2 Stieltjes functions; 3 Bernstein functions; 4 Positive and negative definite functions; 5 A probabilistic intermezzo; 6 Complete Bernstein functions: representation; 7 Complete Bernstein functions: properties; 8 Thorin-Bernstein functions; 9 A second probabilistic intermezzo; 10 Special Bernstein functions and potentials; 11 The spectral theorem and operator monotonicity; 12 Subordination and Bochner's functional calculus; 13 Potential theory of subordinate killed Brownian motion; 14 Applications to generalized diffusions This text is a self-contained and unified approach to Bernstein functions and their subclasses, bringing together old and establishing new connections. Applications of Bernstein functions in different fields of mathematics are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. A self-contained and unified approach to the topic With applications to various fields of mathematics, such as probability theory, potential theory, operator theory, integral equations, functional calculi and co MATHEMATICS / Functional Analysis bisacsh Bernstein-Funktion swd Analytic functions fast Monotonic functions fast Analytic functions Monotonic functions Bernstein-Funktion (DE-588)7689806-4 gnd rswk-swf Bernstein-Funktion (DE-588)7689806-4 s 1\p DE-604 Song, Renming Sonstige oth Vondraček, Zoran Sonstige oth Erscheint auch als Druck-Ausgabe, Hardcover 3-11-021530-6 Erscheint auch als Druck-Ausgabe, Hardcover 978-3-11-021530-4 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=317742 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schilling, René L. Bernstein functions theory and applications MATHEMATICS / Functional Analysis bisacsh Bernstein-Funktion swd Analytic functions fast Monotonic functions fast Analytic functions Monotonic functions Bernstein-Funktion (DE-588)7689806-4 gnd |
| subject_GND | (DE-588)7689806-4 |
| title | Bernstein functions theory and applications |
| title_auth | Bernstein functions theory and applications |
| title_exact_search | Bernstein functions theory and applications |
| title_full | Bernstein functions theory and applications René L. Schilling, Renming Song, Zoran Vondraček |
| title_fullStr | Bernstein functions theory and applications René L. Schilling, Renming Song, Zoran Vondraček |
| title_full_unstemmed | Bernstein functions theory and applications René L. Schilling, Renming Song, Zoran Vondraček |
| title_short | Bernstein functions |
| title_sort | bernstein functions theory and applications |
| title_sub | theory and applications |
| topic | MATHEMATICS / Functional Analysis bisacsh Bernstein-Funktion swd Analytic functions fast Monotonic functions fast Analytic functions Monotonic functions Bernstein-Funktion (DE-588)7689806-4 gnd |
| topic_facet | MATHEMATICS / Functional Analysis Bernstein-Funktion Analytic functions Monotonic functions |
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