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Potential Theory and Right Processes by Lucian Beznea
Potential Theory and Right Processes by Lucian Beznea
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Potential Theory and Right Processes

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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.
Release date NZ
December 7th, 2010
Audience
  • Professional & Vocational
Edition
Softcover reprint of hardcover 1st ed. 2004
Illustrations
VI, 370 p.
Pages
370
Dimensions
155x235x19
ISBN-13
9789048166718
Product ID
8962677

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Potential Theory and Right Processes on Hardback by Lucian Beznea
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