Copyright © 2010 Hassen Mejri and Ezzedine Mliki. This is an open access article distributed under the
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Let be a -contraction semigroup on a real Banach space . A -exit law is a -valued function satisfying the functional equation: , . Let be a Bochner subordinator and let be the subordinated semigroup of (in the Bochner sense) by means of . Under some regularity assumption, it is proved in this paper that each -exit law is subordinated to a unique -exit law.