Quantum Lévy-type Laplacian and associated stochastic differential equations

A. Barhoumi, and H. Ouerdiane. "Quantum Lévy-type Laplacian and associated stochastic differential equations." Banach Center Publications 73.1 (2006): 81-97. <http://eudml.org/doc/281868>.

@article{A2006,
abstract = {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.},
author = {A. Barhoumi, H. Ouerdiane},
journal = {Banach Center Publications},
keywords = {convolution product; Gelfand triple; heat equation; holomorphy; Laplace transform; Lévy Laplacian; operator symbol; quadratic quantum white noise},
language = {eng},
number = {1},
pages = {81-97},
title = {Quantum Lévy-type Laplacian and associated stochastic differential equations},
url = {http://eudml.org/doc/281868},
volume = {73},
year = {2006},
}

TY - JOUR
AU - A. Barhoumi
AU - H. Ouerdiane
TI - Quantum Lévy-type Laplacian and associated stochastic differential equations
JO - Banach Center Publications
PY - 2006
VL - 73
IS - 1
SP - 81
EP - 97
AB - 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.
LA - eng
KW - convolution product; Gelfand triple; heat equation; holomorphy; Laplace transform; Lévy Laplacian; operator symbol; quadratic quantum white noise
UR - http://eudml.org/doc/281868
ER -