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Markov SemigroupWe consider the family of convolution operators on L^{\infty}(\mathbb R^d) indexed by t \geq 0 and given for every f \in L^{\infty}(\mathbb R^d) byP_t f(x)=E_x(f(X_t))=\int_{R^d} f(x+y)\mathbb P(X_t\in dy) The Semigroup (P_t, t\geq 0) has the Feller property, that is for every f \in l_0 :

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