| Edition |
[2nd ed.]. |
| Description |
1 online resource. |
|
text file |
| Series |
De Gruyter studies in mathematics ; 37
|
|
De Gruyter studies in mathematics ; 37.
|
| Bibliography |
Includes bibliographical references and index. |
| Summary |
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. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Analytic functions.
|
|
Analytic functions. |
|
Monotonic functions.
|
|
Monotonic functions. |
|
Quasianalytic functions.
|
|
Quasianalytic functions. |
| Genre/Form |
Electronic books.
|
| Added Author |
Song, Renming, 1963-
|
|
Vondraček, Zoran, 1959-
|
| Other Form: |
Print version: 9781283856751 (DLC) 2012006137 |
| ISBN |
3110252295 |
|
9783110252293 |
|
9781283856751 (MyiLibrary) |
|
1283856751 (MyiLibrary) |
|
9783110269338 (electronic book) |
|
3110269333 (electronic book) |
|
9783110269000 |
|
3110269007 |
|
