Bernstein functions : theory and applications /
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. A...
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Full text (MCPHS users only) |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin :
W. De Gruyter,
2010
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| Series: | De Gruyter studies in mathematics ;
37. |
| Subjects: | |
| Local Note: | ProQuest Ebook Central |
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| 100 | 1 | |a Schilling, René L. | |
| 245 | 1 | 0 | |a Bernstein functions : |b theory and applications / |c René L. Schilling, Renming Song, Zoran Vondraček. |
| 260 | |a Berlin : |b W. De Gruyter, |c ©2010. | ||
| 300 | |a 1 online resource (xi, 313 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter studies in mathematics ; |v 37 | |
| 504 | |a Includes bibliographical references (pages 291-308) and index. | ||
| 505 | 0 | |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. | |
| 520 | |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. | ||
| 546 | |a English. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Analytic functions. | |
| 650 | 0 | |a Monotonic functions. | |
| 700 | 1 | |a Song, Renming, |d 1963- |1 https://id.oclc.org/worldcat/entity/E39PCjFDBy8TxRCkwVGGtg8P8K | |
| 700 | 1 | |a Vondraček, Zoran, |d 1959- |1 https://id.oclc.org/worldcat/entity/E39PCjt9dH8kYGHVCfdYMFp7BK | |
| 758 | |i has work: |a Bernstein functions (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG3b9FY74cxjgFFGMVPBpq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Schilling, René L. |t Bernstein functions. |d Berlin : W. De Gruyter, ©2010 |z 9783110215304 |w (OCoLC)456186293 |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v 37. | |
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