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Lévy processes and homogeneous killing transformation
Authors:Jiangang Ying
Institution:(1) Department of Mathematics, Zhejiang University, 310027 Hangzhou;(2) Probability Laboratory, Institute of Applied Mathematics, the Chinese Academy of Sciences, 100080 Beijing, China
Abstract:In this paper we introduce homogeneous multiplicative functionals of Lévy processes and investigate their bivariate Revuz measures. We also prove that the sector condition will be inherited by sub-Lévy processes through the killing transformation.This research is supported in part by Zhejiang University Science Foundation.
Keywords:  vy processes  multiplicative functionals  Revuz measures  sector condition
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