Description 
1 online resource (xi, 313 pages) : illustrations 
Series 
De Gruyter studies in mathematics ; 37 

De Gruyter studies in mathematics ; 37

Contents 
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 ThorinBernstein 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 
Summary 
This text is a selfcontained 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 selfcontained 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 co 
Analysis 
Bernstein functions 
Bibliography 
Includes bibliographical references (pages 291308) and index 
Notes 
Print version record 
Subject 
Analytic functions.


Monotonic functions.

Form 
Electronic book

Author 
Song, Renming, 1963


Vondraček, Zoran, 1959

ISBN 
3110215314 (electronic bk.) 

9783110215311 (electronic bk.) 
