Potential Theory and Right Processes /
This book develops the potential theory starting from a sub-Markovian resolvent of kernels on a measurable space, covering the context offered by a right process with general state space. It turns out that the main results from the classical cases (e.g., on locally compact spaces, with Green functio...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands : Imprint : Springer,
2004.
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| Series: | Mathematics and its applications ;
572. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- From the contents: Introduction
- 1: Excessive Functions
- 2: Cones of Potentials and H Cones
- 3: Fine Potential Theoretical Techniques
- 4: Strongly Supermedian Functions and Kernels
- 5: Subordinate Resolvents
- 6: Revuz Correspondence
- 7: Resolvents under Weak Duality
- A. Appendix. A.1. Complements on measure theory, kernels, Choquet boundary and capacity. A.2. Complements on right processes. A.3. Cones of potentials and H-cones. A.4. Basics on coercive closed bilinear forms
- Notes. Bibliography
- Index.