Résumé
Let (X, omega) be a symplectic orbifold which is locally like the quotient of a Z(2) action on R-n. Let A(X)(((h) over bar))) be a deformation quantization of X constructed via the standard Fedosov method with characteristic class being omega. In this paper, we construct a deformation of the algebra A(X)(((h) over bar))) parametrized by codimension 2 components of the associated inertia orbifold (X) over tilde. This partially confirms a conjecture of Dolgushev and Etingof in the case of Z(2) orbifolds. To do so, we generalize the interpretation of the Moyal star-product as a composition of symbols of pseudodifferential operators in the case where partial derivatives are replaced with Dunkl operators. The star-products we obtain can be seen as globalizations of symplectic reflection algebras.