Bernstein Functions : : Theory and Applications /

Bernstein Functions : : Theory and Applications / / René L. Schilling, Renming Song, Zoran Vondracek.

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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...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Schilling, René L.,
Song, Renming,
Vondracek, Zoran,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©2012
Year of Publication:2012
Edition:2nd rev. and ext. ed.
Language:English
Series:De Gruyter Studies in Mathematics , 37
Online Access:
Physical Description:1 online resource (410 p.)
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Table of Contents:
  • Frontmatter
  • Preface to the second edition
  • Preface
  • Contents
  • Index of notation
  • Chapter 1. Laplace transforms and completely monotone functions
  • Chapter 2. Stieltjes functions
  • Chapter 3. Bernstein functions
  • Chapter 4. Positive and negative definite functions
  • Chapter 5. A probabilistic intermezzo
  • Chapter 6. Complete Bernstein functions
  • Chapter 7. Properties of complete Bernstein functions
  • Chapter 8. Thorin–Bernstein functions
  • Chapter 9. A second probabilistic intermezzo
  • Chapter 10. Transformations of Bernstein functions
  • Chapter 11. Special Bernstein functions and potentials
  • Chapter 12. The spectral theorem and operator monotonicity
  • Chapter 13. Subordination and Bochner’s functional calculus
  • Chapter 14. Potential theory of subordinate killed Brownian motion
  • Chapter 15. Applications to generalized diffusions
  • Chapter 16. Examples of complete Bernstein functions
  • Appendix
  • Bibliography
  • Index

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