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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
[2012]
|
| Edición: | 2nd edition. |
| Colección: | De Gruyter studies in mathematics ;
37. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.