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[null,"1.","Record Nr.",null,"UNINA9910462980303321"]
[null,null,"Autore",null,"Schilling René L"]
[null,null,"Titolo",null,"Bernstein functions [[electronic resource] ] : theory and applications / / by Rene L. Schilling, Renming Song, Zoran Vondracek"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, : De Gruyter, c2012"]
[null,null,"ISBN",null,"3-11-026900-7"]
[{"$nulls":4},"1-283-85675-1"]
[null,null,"Edizione",null,"[2nd ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (424 p.)"]
[null,null,"Collana",null,"De Gruyter Studies in Mathematics ; ; 37"]
[null,null,"Disciplina",null,"515/.8"]
[null,null,"Soggetti",null,"Analytic functions"]
[{"$nulls":4},"Monotonic functions"]
[{"$nulls":4},"Quasianalytic functions"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. [383]-) and index."]
[null,null,"Nota di contenuto",null,"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"]
[null,null,null,"Sommario/riassunto","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 of Bernstein function, and complete Bernstein functions are sometimes called `Pick functions', `Nevanlinna functions' or `operator monotone functions'. This monograph - now in its second revised and extended "]
[{"$nulls":4},"edition - offers a self-contained and unified approach to Bernstein functions and closely related function classes, bringing together old and establishing new connections. For the second edition the authors added a substantial amount of new material. As in the first edition Chapters 1 to 11 contain general material which should be accessible to non-specialists, while the later Chapters 12 to 15 are devoted to more specialized topics. An extensive list of complete Bernstein functions with their representations is provided."]