Bernstein functions :: theory and applications /
This secondrevised andextendededition of the self-contained and unified approach to Bernstein functions and their subclassesbrings together old and establishs new connections. Applications of Bernstein functions in different fields of mathematics (such as probability theory, potential theory, operat...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2012]
|
| Ausgabe: | 2nd edition. |
| Schriftenreihe: | De Gruyter studies in mathematics ;
37. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This secondrevised andextendededition of the self-contained and unified approach to Bernstein functions and their subclassesbrings together old and establishs new connections. Applications of Bernstein functions in different fields of mathematics (such as probability theory, potential theory, operator theory, integral equations, functional calculi, and complex analysis) are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. |
| Beschreibung: | 1 online resource. |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110252293 3110252295 9781283856751 1283856751 9783110269338 3110269333 |
Internformat
MARC
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| 245 | 1 | 0 | |a Bernstein functions : |b theory and applications / |c by René L. Schilling, Renming Song, Zoran Vondraček. |
| 250 | |a 2nd edition. | ||
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2012] | |
| 264 | 4 | |c ©2012 | |
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| 490 | 1 | |a De Gruyter studies in mathematics ; |v 37 | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a This secondrevised andextendededition of the self-contained and unified approach to Bernstein functions and their subclassesbrings together old and establishs new connections. Applications of Bernstein functions in different fields of mathematics (such as probability theory, potential theory, operator theory, integral equations, functional calculi, and complex analysis) are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. | ||
| 505 | 0 | |a Completely monotone functions -- Stieltjes functions -- Bernstein functions -- Positive and negative definite functions -- probabilistic intermezzo -- Complete Bernstein functions Thorin-Bernstein functions -- A second probabilistic intermezzo -- Special Bernstein functions and potentials -- The spectral theorem and operator monotonicity -- Subordination and Bochner's functional calculus -- Potential theory of subordinate killed Brownian motion -- Applications to generalized diffusions -- Examples of complete Bernstein functions. | |
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 650 | 0 | |a Analytic functions. |0 http://id.loc.gov/authorities/subjects/sh85004784 | |
| 650 | 0 | |a Monotonic functions. |0 http://id.loc.gov/authorities/subjects/sh85086979 | |
| 650 | 0 | |a Quasianalytic functions. |0 http://id.loc.gov/authorities/subjects/sh87001427 | |
| 650 | 6 | |a Fonctions analytiques. | |
| 650 | 6 | |a Fonctions monotones. | |
| 650 | 6 | |a Fonctions quasi analytiques. | |
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| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Analytic functions |2 fast | |
| 650 | 7 | |a Monotonic functions |2 fast | |
| 650 | 7 | |a Quasianalytic functions |2 fast | |
| 653 | |a Bernstein Function. | ||
| 653 | |a Monotone Function. | ||
| 653 | |a Probability Measure. | ||
| 653 | |a Semigroup. | ||
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| 700 | 1 | |a Vondraček, Zoran, |d 1959- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjt9dH8kYGHVCfdYMFp7BK |0 http://id.loc.gov/authorities/names/no2010049422 | |
| 758 | |i has work: |a Bernstein functions (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG3b9FY74cxjgFFGMVPBpq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| author | Schilling, René L. Song, Renming, 1963- Vondraček, Zoran, 1959- |
| author_GND | http://id.loc.gov/authorities/names/nr2006000193 http://id.loc.gov/authorities/names/no2010049421 http://id.loc.gov/authorities/names/no2010049422 |
| author_facet | Schilling, René L. Song, Renming, 1963- Vondraček, Zoran, 1959- |
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| contents | Completely monotone functions -- Stieltjes functions -- Bernstein functions -- Positive and negative definite functions -- probabilistic intermezzo -- Complete Bernstein functions Thorin-Bernstein functions -- A second probabilistic intermezzo -- Special Bernstein functions and potentials -- The spectral theorem and operator monotonicity -- Subordination and Bochner's functional calculus -- Potential theory of subordinate killed Brownian motion -- Applications to generalized diffusions -- Examples of complete Bernstein functions. |
| ctrlnum | (OCoLC)820121236 |
| dewey-full | 515/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.8 |
| dewey-search | 515/.8 |
| dewey-sort | 3515 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2nd edition. |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn820121236 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:04Z |
| institution | BVB |
| isbn | 9783110252293 3110252295 9781283856751 1283856751 9783110269338 3110269333 |
| language | English |
| oclc_num | 820121236 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource. |
| psigel | ZDB-4-EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | De Gruyter, |
| record_format | marc |
| series | De Gruyter studies in mathematics ; |
| series2 | De Gruyter studies in mathematics ; |
| spelling | Schilling, René L., author. http://id.loc.gov/authorities/names/nr2006000193 Bernstein functions : theory and applications / by René L. Schilling, Renming Song, Zoran Vondraček. 2nd edition. Berlin ; Boston : De Gruyter, [2012] ©2012 1 online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier polychrome. rdacc http://rdaregistry.info/termList/RDAColourContent/1003 text file rdaft http://rdaregistry.info/termList/fileType/1002 De Gruyter studies in mathematics ; 37 Includes bibliographical references and index. This secondrevised andextendededition of the self-contained and unified approach to Bernstein functions and their subclassesbrings together old and establishs new connections. Applications of Bernstein functions in different fields of mathematics (such as probability theory, potential theory, operator theory, integral equations, functional calculi, and complex analysis) are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. Completely monotone functions -- Stieltjes functions -- Bernstein functions -- Positive and negative definite functions -- probabilistic intermezzo -- Complete Bernstein functions Thorin-Bernstein functions -- A second probabilistic intermezzo -- Special Bernstein functions and potentials -- The spectral theorem and operator monotonicity -- Subordination and Bochner's functional calculus -- Potential theory of subordinate killed Brownian motion -- Applications to generalized diffusions -- Examples of complete Bernstein functions. Print version record. English. Analytic functions. http://id.loc.gov/authorities/subjects/sh85004784 Monotonic functions. http://id.loc.gov/authorities/subjects/sh85086979 Quasianalytic functions. http://id.loc.gov/authorities/subjects/sh87001427 Fonctions analytiques. Fonctions monotones. Fonctions quasi analytiques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Analytic functions fast Monotonic functions fast Quasianalytic functions fast Bernstein Function. Monotone Function. Probability Measure. Semigroup. Theory. Song, Renming, 1963- author. https://id.oclc.org/worldcat/entity/E39PCjFDBy8TxRCkwVGGtg8P8K http://id.loc.gov/authorities/names/no2010049421 Vondraček, Zoran, 1959- author. https://id.oclc.org/worldcat/entity/E39PCjt9dH8kYGHVCfdYMFp7BK http://id.loc.gov/authorities/names/no2010049422 has work: Bernstein functions (Text) https://id.oclc.org/worldcat/entity/E39PCG3b9FY74cxjgFFGMVPBpq https://id.oclc.org/worldcat/ontology/hasWork Print version: Schilling, René L. Bernstein functions. 2nd ed. Berlin ; Boston : De Gruyter, ©2012 9783110252293 (DLC) 2012006137 (OCoLC)779472194 De Gruyter studies in mathematics ; 37. http://id.loc.gov/authorities/names/n83742913 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=522543 Volltext |
| spellingShingle | Schilling, René L. Song, Renming, 1963- Vondraček, Zoran, 1959- Bernstein functions : theory and applications / De Gruyter studies in mathematics ; Completely monotone functions -- Stieltjes functions -- Bernstein functions -- Positive and negative definite functions -- probabilistic intermezzo -- Complete Bernstein functions Thorin-Bernstein functions -- A second probabilistic intermezzo -- Special Bernstein functions and potentials -- The spectral theorem and operator monotonicity -- Subordination and Bochner's functional calculus -- Potential theory of subordinate killed Brownian motion -- Applications to generalized diffusions -- Examples of complete Bernstein functions. Analytic functions. http://id.loc.gov/authorities/subjects/sh85004784 Monotonic functions. http://id.loc.gov/authorities/subjects/sh85086979 Quasianalytic functions. http://id.loc.gov/authorities/subjects/sh87001427 Fonctions analytiques. Fonctions monotones. Fonctions quasi analytiques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Analytic functions fast Monotonic functions fast Quasianalytic functions fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85004784 http://id.loc.gov/authorities/subjects/sh85086979 http://id.loc.gov/authorities/subjects/sh87001427 |
| 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 / by René L. Schilling, Renming Song, Zoran Vondraček. |
| title_fullStr | Bernstein functions : theory and applications / by René L. Schilling, Renming Song, Zoran Vondraček. |
| title_full_unstemmed | Bernstein functions : theory and applications / by René L. Schilling, Renming Song, Zoran Vondraček. |
| title_short | Bernstein functions : |
| title_sort | bernstein functions theory and applications |
| title_sub | theory and applications / |
| topic | Analytic functions. http://id.loc.gov/authorities/subjects/sh85004784 Monotonic functions. http://id.loc.gov/authorities/subjects/sh85086979 Quasianalytic functions. http://id.loc.gov/authorities/subjects/sh87001427 Fonctions analytiques. Fonctions monotones. Fonctions quasi analytiques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Analytic functions fast Monotonic functions fast Quasianalytic functions fast |
| topic_facet | Analytic functions. Monotonic functions. Quasianalytic functions. Fonctions analytiques. Fonctions monotones. Fonctions quasi analytiques. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Analytic functions Monotonic functions Quasianalytic functions |
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