Potential Theory and Right Processes (Mathematics and Its Applications)
1 edition
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Word Count
92,500 words, Guess
Page Count
370 pages
Physical Format
Hardcover
Identifiers
- Open LibraryOL8371138M
- ISBN-139781402024962
- ISBN-101402024967
- OCLC Control Number55633772
- OCLC Control Numberpotentialtheoryr00bezn
and 2 more
- Library of Congress Control Number2004053795
- Goodreads1284790
Classifications
- LCCQA404.7 .B49 2004
Description
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 functions) have meaningful extensions to this setting. The study of the strongly supermedian functions and specific methods like the Revuz correspondence, for the largest class of measures, and the weak duality between two sub-Markovian resolvents of kernels are presented for the first time in a complete form. It is shown that the quasi-regular semi-Dirichlet forms fit in the weak duality hypothesis. Further results are related to the subordination operators and measure perturbations. The subject matter is supplied with a probabilistic counterpart, involving the homogeneous random measures, multiplicative, left and co-natural additive functionals. The book is almost self-contained, being accessible to graduate students.
First Sentence
In this chapter we present the basic concepts concerning the potential theory associated with a sub-Markovian resolvent of kernels on a Radon measurable space (E,B).
Subjects
Topics
Other Editions
- Potential Theory and Right Processes (Mathematics and Its Applications)
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