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Evolution equation associated to the powers of the quantum Gross Laplacian
Journal article   Peer reviewed

Evolution equation associated to the powers of the quantum Gross Laplacian

Soumaya Gheryani, Samah Horrigue and Habib Ouerdiane
Stochastics (Abingdon, Eng. : 2005), Vol.81(3-4), pp.355-366
01/06/2009
DOI: https://doi.org/10.1080/17442500902919611

Abstract

convolution operators quantum Gross heat equations quantum Gross Laplacian space of entire functions with growth condition symbols of operators
In this paper, we show that the powers of the quantum Gross Laplacian can be expressed as convolution operators. For this purpose, we use a certain topological isomorphism between some space of operators and a two-variables distributions space. We also study the existence and the uniqueness of the associated quantum Cauchy problem.

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