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Carte Potential Theory and Right Processes Lucian Beznea

Potential Theory and Right Processes

Autor: Lucian Beznea, Nicu Boboc
Limbă: engleză
Legare: Carte broșată
Editura: Springer Netherlands
Disponibilitate: În depozitul extern
Expediem în 5-8 zile
276.60 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 - Carte broșată
Publicat
2010
Pagini
370
EAN
9789048166718
ISBN
9048166713
Enbook ID
01974948
Editura
Springer Netherlands
Greutate
581
Dimensiuni
160 x 240 x 19

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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