2 papers
math.QA2004
Produit de Moyal stochastique sur l'espace de Wiener
Giuseppe Dito, Remi Leandre
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 S…
math.QA2004
Deformation quantization on a Hilbert space
Giuseppe Dito
We study deformation quantization on an infinite-dimensional Hilbert space endowed with its canonical Poisson structure. The standard example of the Moyal star-product is made…