Zoran Vondracek's Books

Bernstein Functions

Theory and Applications

By: René L. Schilling,Renming Song,Zoran Vondracek

Write a review Read reviews Take a Quiz Solve Book Puzzle

Bernstein Functions

Theory and Applications

By: René L. Schilling,Renming Song,Zoran Vondracek

Bernstein functions appear in various fields of mathematics, e.g. probability theory, potential theory, operator theory, functional analysis and complex analysis – often with different definitions and under different names. Among the synonyms are `Laplace exponent' instead of Bernstein function, and complete Bernstein functions are sometimes called `Pick functions', `Nevanlinna functions' or `operator monotone functions'. This monograph – now in its second revised and extended edition – offers a self-contained and unified approach to Bernstein functions and closely related function classes, bringing together old and establishing new connections. For the second edition the authors added a substantial amount of new material. As in the first edition Chapters 1 to 11 contain general material which should be accessible to non-specialists, while the later Chapters 12 to 15 are devoted to more specialized topics. An extensive list of complete Bernstein functions with their representations is provided.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

424

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110269333

ISBN 13

9783110269338

Potential Analysis of Stable Processes and its Extensions

By: Krzysztof Bogdan,Tomasz Byczkowski,Tadeusz Kulczycki,Michal Ryznar,Renming Song,Zoran Vondracek

Write a review Read reviews Take a Quiz Solve Book Puzzle

Potential Analysis of Stable Processes and its Extensions

By: Krzysztof Bogdan,Tomasz Byczkowski,Tadeusz Kulczycki,Michal Ryznar,Renming Song,Zoran Vondracek

Stable Lévy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financial mathematics. This book is about the potential theory of stable stochastic processes. It also deals with related topics, such as the subordinate Brownian motions (including the relativistic process) and Feynman–Kac semigroups generated by certain Schrödinger operators. The authors focus on classes of stable and related processes that contain the Brownian motion as a special case. This is the first book devoted to the probabilistic potential theory of stable stochastic processes, and, from the analytical point of view, of the fractional Laplacian. The introduction is accessible to non-specialists and provides a general presentation of the fundamental objects of the theory. Besides recent and deep scientific results the book also provides a didactic approach to its topic, as all chapters have been tested on a wide audience, including young mathematicians at a CNRS/HARP Workshop, Angers 2006. The reader will gain insight into the modern theory of stable and related processes and their potential analysis with a theoretical motivation for the study of their fine properties.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

200

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642021417

ISBN 13

9783642021411

Potential Analysis of Stable Processes and its Extensions

By: Krzysztof Bogdan,Tomasz Byczkowski,Tadeusz Kulczycki,Michal Ryznar,Renming Song,Zoran Vondracek

Write a review Read reviews Take a Quiz Solve Book Puzzle

Potential Analysis of Stable Processes and its Extensions

By: Krzysztof Bogdan,Tomasz Byczkowski,Tadeusz Kulczycki,Michal Ryznar,Renming Song,Zoran Vondracek

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

194

Publisher

Springer

Published Date

ISBN 10

3642021425

ISBN 13

9783642021428

Bernstein Functions

Theory and Applications

By: René L. Schilling,Renming Song,Zoran Vondraček

Write a review Read reviews Take a Quiz Solve Book Puzzle

Bernstein Functions

Theory and Applications

By: René L. Schilling,Renming Song,Zoran Vondraček

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 theauthors' website.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

313

Publisher

De Gruyter

Published Date

ISBN 10

3110215306

ISBN 13

9783110215304

Book's by Zoran Vondracek

Bernstein Functions

Bernstein Functions

Potential Analysis of Stable Processes and its Extensions

Potential Analysis of Stable Processes and its Extensions

Potential Analysis of Stable Processes and its Extensions

Potential Analysis of Stable Processes and its Extensions

Bernstein Functions

Bernstein Functions

Username

Password

Username

Password

Password again

Birthday

Email