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Zbl 1143.53082
Léandre, Rémi
Deformation quantization in white noise analysis. (English)
[J] SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 027, 8 p., electronic only (2007). ISSN 1815-0659/e

This work follows the work of Dito-Léandre: ``A Stochastic Moyal product on the Wiener space" , J. Math. Phys. 48, No. 2, 023509, 8 p. (2007; Zbl 1121.81089). An example of a deformation quantization product on a Hida space of test functions endowed with a Wick product is given.
[Béchir Dali (Bizerte)]

MSC 2000:: *53D55 Deformation quantization, star products
60H40 White noise theory
60H07 Stochastic calculus of variations and the Malliavin calculus
81S10 Geometric quantization, symplectic methods
81S30 Phase space methods in quantum mechanics

Keywords: deformation quantization; Moyal product; white noise analysis

Citations: Zbl 1121.81089

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