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Bernstein functions : theory and applications

Author: René L Schilling; Renming Song; Zoran Vondraček
Publisher: Berlin ; Boston : De Gruyter, [2012] ©2012
Series: De Gruyter studies in mathematics, 37.
Edition/Format:  eBook : Document : English : 2nd editionView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Schilling, René L.
Bernstein functions.
Berlin ; Boston : De Gruyter, ©2012
(DLC) 2012006137
(OCoLC)779472194
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: René L Schilling; Renming Song; Zoran Vondraček
ISBN: 3110252295 9783110252293 9781283856751 1283856751 9783110269338 3110269333
OCLC Number: 820121236
Description: 1 online resource
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.
Series Title: De Gruyter studies in mathematics, 37.
Responsibility: by René L. Schilling, Renming Song, Zoran Vondraček.
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Bernstein Functions  Read more...

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"To sum up, the book collects and integrates results from a number of sources scattered throughout the literature. It is clearly and carefully written. It will certainly be useful for both graduate Read more...

 
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