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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…
math.QA2003
Universal Deformation Formulae, Symplectic Lie groups and Symmetric Spaces
Pierre Bieliavsky, Philippe Bonneau, Yoshiaki Maeda
We apply methods from strict quantization of solvable symmetric spaces to obtain universal deformation formulae for actions of a class of solvable Lie groups. We also study compati…