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Bernstein Functions : Theory and Applications (2009)

Schilling, René L., ; Song, Renming, ; Vondracek, Zoran,

Berlin ; : De Gruyter,

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Details

UID:

almahu_9949462254602882

Format: 1 online resource (313 p.)

ISBN: 9783110215311 , 9783110494938

Series Statement: De Gruyter Studies in Mathematics , 37

Content: This text is a self-contained and unified approach to Bernstein functions and their subclasses, bringing together old and establishing new connections. Applications of Bernstein functions in different fields of mathematics are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. A self-contained and unified approach to the topic With applications to various fields of mathematics, such as probability theory, potential theory, operator theory, integral equations, functional calculi and complex analysis With an extensive list of complete Bernstein functions. Additional material and corrections can be found on the authors' website.

Note: Frontmatter -- , Contents -- , 1 Completely monotone functions -- , 2 Stieltjes functions -- , 3 Bernstein functions -- , 4 Positive and negative definite functions -- , 5 A probabilistic intermezzo -- , 6 Complete Bernstein functions: representation -- , 7 Complete Bernstein functions: properties -- , 8 Thorin-Bernstein functions -- , 9 A second probabilistic intermezzo -- , 10 Special Bernstein functions and potentials -- , 11 The spectral theorem and operator monotonicity -- , 12 Subordination and Bochner's functional calculus -- , 13 Potential theory of subordinate killed Brownian motion -- , 14 Applications to generalized diffusions -- , 15 Examples of complete Bernstein functions -- , Backmatter , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.

In: DG Studies in Mathematics eBook-Package, De Gruyter, 9783110494938

In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570

In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471

In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205

Additional Edition: ISBN 9783110215304

Language: English

Subjects: Mathematics

RVK:

SK 420

DOI: 10.1515/9783110215311

URL: https://doi.org/10.1515/9783110215311

URL: https://www.degruyter.com/isbn/9783110215311