Name: potential theory and right processes
SKU: 3581457
Price: 1867.00 TWD
Availability: InStock
Author: beznea,boboc
ISBN: 9781402024962

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portada potential theory and right processes

Type

Physical Book

Publisher

Springer

Author

beznea,boboc

Language

English

Pages

370

ISBN

1402024967

ISBN13

9781402024962

Synopsis "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 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.