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Record Nr. |
UNINA9910786435503321 |
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Autore |
Schilling René L |
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Titolo |
Bernstein functions [[electronic resource] ] : theory and applications / / by Rene L. Schilling, Renming Song, Zoran Vondracek |
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Pubbl/distr/stampa |
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Berlin, : De Gruyter, c2012 |
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ISBN |
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3-11-026900-7 |
1-283-85675-1 |
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Edizione |
[2nd ed.] |
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Descrizione fisica |
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1 online resource (424 p.) |
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Collana |
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De Gruyter Studies in Mathematics ; ; 37 |
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Classificazione |
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Altri autori (Persone) |
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SongRenming <1963-> |
VondračekZoran <1959-> |
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Disciplina |
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Soggetti |
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Analytic functions |
Monotonic functions |
Quasianalytic functions |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [383]-) and index. |
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Nota di contenuto |
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Front matter -- Preface to the second edition -- Preface -- Contents -- Index of notation -- Chapter 1. Laplace transforms and completely monotone functions -- Chapter 2. Stieltjes functions -- Chapter 3. Bernstein functions -- Chapter 4. Positive and negative definite functions -- Chapter 5. A probabilistic intermezzo -- Chapter 6. Complete Bernstein functions -- Chapter 7. Properties of complete Bernstein functions -- Chapter 8. Thorin-Bernstein functions -- Chapter 9. A second probabilistic intermezzo -- Chapter 10. Transformations of Bernstein functions -- Chapter 11. Special Bernstein functions and potentials -- Chapter 12. The spectral theorem and operator monotonicity -- Chapter 13. Subordination and Bochner's functional calculus -- Chapter 14. Potential theory of subordinate killed Brownian motion -- Chapter 15. Applications to generalized diffusions -- Chapter 16. Examples of complete Bernstein functions -- Appendix -- Bibliography -- Index |
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Sommario/riassunto |
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Bernstein functions appear in various fields of mathematics, e.g. probability theory, potential theory, operator theory, functional analysis and complex analysis - often with different definitions and under different names. Among the synonyms are `Laplace exponent' instead |
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