Quantum Lévy-type Laplacian and associated stochastic differential equations

• Autorzy: A. Barhoumi , H. Ouerdiane
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 60H40: White noise theory
• 46A32: Spaces of linear operators; topological tensor products; approximation properties
• 46F25: Distributions on infinite-dimensional spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 73
• Numer: 1
• Strony: 81-97

Daty

wydano

2006

Twórcy

autor

A. Barhoumi

• Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 1060 Tunis, Tunisia

autor

H. Ouerdiane

• Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 1060 Tunis, Tunisia

Identyfikatory

DOI

10.4064/bc73-0-5