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Produit de Moyal stochastique sur l'espace de Wiener

Giuseppe Dito, Remi Leandre

math.QAarXiv:math/0409470

Abstract

We propose a stochastic extension of deformation quantization on a Hilbert space. The Moyal product is defined in this context on the space of functionals belonging to all of the Sobolev spaces of the Malliavin calculus.

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