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Книга Potential Theory and Right Processes Lucian Beznea

Potential Theory and Right Processes

Автор: Lucian Beznea, Nicu Boboc
Език: Английски език
Корици: С меки корици
Издател: Springer Netherlands
Наличност: Външен склад
Изпращаме след 5-8 дни
52.77 € 103.22 лв
This book develops the potential theory starting from a sub-Markovian resolvent of kernels on a meas...

Информация за книгата

Автор
Lucian Beznea, Nicu Boboc
Език
Английски език
Корици
Книга - С меки корици
Издадена
2010
страници
370
EAN
9789048166718
ISBN
9048166713
Enbook ID
01974948
Издател
Springer Netherlands
Теглоt
581
Размери
160 x 240 x 19

Пълно описание

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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