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Licensed Unlicensed Requires Authentication Published by De Gruyter 2012

Chapter 4. Positive and negative definite functions

From the book Bernstein Functions

https://doi.org/10.1515/9783110269338.35
From the book
Bernstein Functions
Bernstein Functions

Chapters in this book (24)

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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