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On exit laws for subordinated semigroups by means of C-1-subordinators
Journal article   Peer reviewed

On exit laws for subordinated semigroups by means of C-1-subordinators

Mohamed Hmissi and Ezzedine Mliki
Commentationes mathematicae Universitatis Carolinae, Vol.51(4), pp.605-617
01/01/2010

Abstract

Mathematics Physical Sciences Science & Technology
We study the integral representation of potentials by exit laws in the framework of sub-Markovian semigroups of bounded operators acting on L-2(m). We mainly investigate subordinated semigroups in the Bochner sense by means of C-1-subordinators. By considering the one-sided stable subordinators, we deduce an integral representation for the original semigroup.

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