Quantum Lévy-type Laplacian and associated stochastic differential equations
A. Barhoumi ; H. Ouerdiane
Banach Center Publications, Tome 72 (2006), p. 81-97 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:281868 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-5,
     author = {A. Barhoumi and H. Ouerdiane},
     title = {Quantum L\'evy-type Laplacian and associated stochastic differential equations},
     journal = {Banach Center Publications},
     volume = {72},
     year = {2006},
     pages = {81-97},
     zbl = {1105.60049},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-5}
}

A. Barhoumi; H. Ouerdiane. Quantum Lévy-type Laplacian and associated stochastic differential equations. Banach Center Publications, Tome 72 (2006) pp. 81-97. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-5/