Potential Theory and Right Processes

Name: Potential Theory and Right Processes
Brand: Springer Netherlands
SKU: 9781402024962
Price: 296.72 RON
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Autor: Lucian Beznea, Nicu Boboc

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Editura: Springer Netherlands

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296.72 lei

This book develops the potential theory starting from a sub-Markovian resolvent of kernels on a meas...

Informații despre carte

Autor

Lucian Beznea, Nicu Boboc

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2004

Pagini

370

EAN

9781402024962

ISBN

1402024967

Enbook ID

01415807

Editura

Springer Netherlands

Greutate

797

Dimensiuni

155 x 235 x 22

Descriere completă

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.

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Potential Theory and Right Processes

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