Bernstein Functions
eBook - PDF

Bernstein Functions

Theory and Applications

  1. 324 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Bernstein Functions

Theory and Applications

About this book

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.

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Yes, you can access Bernstein Functions by René L. Schilling,Renming Song,Zoran Vondracek in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2009
Print ISBN
9783110215304
eBook ISBN
9783110215311

Table of contents

  1. Frontmatter
  2. Contents
  3. 1 Completely monotone functions
  4. 2 Stieltjes functions
  5. 3 Bernstein functions
  6. 4 Positive and negative definite functions
  7. 5 A probabilistic intermezzo
  8. 6 Complete Bernstein functions: representation
  9. 7 Complete Bernstein functions: properties
  10. 8 Thorin–Bernstein functions
  11. 9 A second probabilistic intermezzo
  12. 10 Special Bernstein functions and potentials
  13. 11 The spectral theorem and operator monotonicity
  14. 12 Subordination and Bochner’s functional calculus
  15. 13 Potential theory of subordinate killed Brownian motion
  16. 14 Applications to generalized diffusions
  17. 15 Examples of complete Bernstein functions
  18. Backmatter