Résumé Soit N′ l'espace dual d'un Fréchet nucléaire N et θ une fonction de Young sur
[0,+∞[. On définit l'espace F θ (N′) des fonctions holomorphes sur N′ et qui vérifient: pour …

Duality is established for new spaces of entire functions in two infinite dimensional variables
with certain growth rates determined by Young functions. These entire functions characterize …

QWN-conservation operator and associated Wick differential equation Page 1 Communications
on Stochastic Analysis Volume 6 Number 3 Article 6 9-1-2012 QWN-conservation operator and …

In this paper the quantum white noise (QWN)-Euler operator is defined as the sum, where
and NQ stand for appropriate QWN counterparts of the Gross Laplacian and the …

We revisit a CKS-space from the viewpoint of standard setup of white noise calculus and
prove a general characterization theorem for white noise operators from a CKS-space into …

We derive some characteristic properties of the convolution operator acting on white noise
functions and prove that the convolution product of white noise distributions coincides with …

ALGEBRES NUCLEAIRES DE FONCTIONS ENTIERES ET EQUATIONS AUX DERIVEES
PARTIELLES STOCHASTIQUES H. OUERDIANE §1. Introduction Page 1 H. Ouerdiane …

We develop the theory of operators defined on a space of holomorphic functions. First, we
characterize such operators by a suitable space of holomorphic functions. Next, we show …

We introduce a new operator obtained from the quantum white noise (QWN) derivatives
which satisfies new important commutation relations generalizing those of the renormalized …

A rigged Hilbert space formalism is introduced to study Fock space operators. The symbols
of continuous operators on a rigged Fock space are characterized in terms of Bargmann …