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Quantum white noise convolution operators with application to differential equations
Journal article   Peer reviewed

Quantum white noise convolution operators with application to differential equations

Abdessatar Barhoumi, Alberto Lanconelli and Hafedh Rguigui
Random operators and stochastic equations, Vol.22(4), pp.195-211
01/12/2014

Abstract

46A32 46F25 60H40 QWN-convolution operator QWN-convolution product Wick product
In this paper we introduce a quantum white noise (QWN) convolution calculus over a nuclear algebra of operators. We use this calculus to discuss new solutions of some linear and non-linear differential equations.

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