Bernstein Functions
eBook - PDF

Bernstein Functions

Theory and Applications

  1. 424 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Bernstein Functions

Theory and Applications

About this book

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.

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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
2012
Print ISBN
9783110252293
eBook ISBN
9783110269338

Table of contents

  1. Preface to the second edition
  2. Preface
  3. Index of notation
  4. 1 Completely monotone functions
  5. 2 Stieltjes functions
  6. 3 Bernstein functions
  7. 4 Positive and negative definite functions
  8. 5 A probabilistic intermezzo
  9. 6 Complete Bernstein functions
  10. 7 Properties of complete Bernstein functions
  11. 8 Thorin-Bernstein functions
  12. 9 A second probabilistic intermezzo
  13. 10 Transformations of Bernstein functions
  14. 11 Special Bernstein functions and potentials
  15. 12 The spectral theorem and operator monotonicity
  16. 13 Subordination and Bochner’s functional calculus
  17. 14 Potential theory of subordinate killed Brownian motion
  18. 15 Applications to generalized diffusions
  19. 16 Examples of complete Bernstein functions
  20. Appendix
  21. Bibliography
  22. Index