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Quantum Lévy-type Laplacian and associated stochastic differential equations

A. Barhoumi, H. Ouerdiane (2006)

Banach Center Publications

We study a quantum extension of the Lévy Laplacian, so-called quantum Lévy-type Laplacian, to the nuclear algebra of operators on spaces of entire functions. We give several examples of the action of the quantum Lévy-type Laplacian on basic operators and we study a quantum white noise convolution differential equation involving the quantum Lévy-type Laplacian.

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