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γ-Quantum product of white noise operators and applications
Journal article   Peer reviewed

γ-Quantum product of white noise operators and applications

Samah Horrigue
Indagationes mathematicae, Vol.31(3), pp.375-388
01/05/2020
DOI: https://doi.org/10.1016/j.indag.2020.02.003

Abstract

[formula omitted]-product Fock space Operator symbol Stochastic differential equation White noise operator
The γ-quantum product of white noise operators which is the generalization of the γ-product, is introduced on the basis of the analytic characterization theorem for operator symbols established within the framework of white noise distribution theory. Existence and uniqueness of solutions are proved for a certain class of ordinary differential equations for Fock space operators.

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