S. Ghazouani

collaborators

3 papers

math.AP2021

Generalized translation operator and the Heat equation for the canonical Fourier Bessel transform

Sami Ghazouani, Jihed Sahbani

The aim of this paper is to introduce a translation operator associated to the canonical Fourier Bessel transform $F_{ν}^{m}$ and study some of the important prope…

math.CA2013

Intertwining operator associated to the complex Dunkl operator of type $G (m, 1, N)$

Fethi Bouzeffour, Sami Ghazouani

In this work, we consider the Dunkl complex reflection operators related to the group $G (m, 1, N)$ in the complex plane \begin{align*} T_i=\frac{\partial}{\partial z_i}+k_0\sum_{j\ne…

math.CA2013

A Fractional Power for Dunkl Transforms in $L^{2} (R^{N}, ω_{k} (x) d x)$

Sami Ghazouani, Fethi Bouzeffour

A new fractional version of the Dunkl transform for real order $α$ is obtained. An integral representation, a Bochner type identity and a Master formula for this transform are deri…

Generalized translation operator and the Heat equation for the canonical Fourier Bessel transform

Intertwining operator associated to the complex Dunkl operator of type G(m,1,N)

A Fractional Power for Dunkl Transforms in L2(RN,ωk​(x)dx)

Intertwining operator associated to the complex Dunkl operator of type $G (m, 1, N)$

A Fractional Power for Dunkl Transforms in $L^{2} (R^{N}, ω_{k} (x) d x)$