34 citations · 64 across the 5 of their papers we have counts for
7 papers
A New Product Formula Involving Bessel Functions
Mohamed Amine Boubatra, Selma Negzaoui, Mohamed Sifi
In this paper, we consider the normalized Bessel function of index , we find an integral representation of the term . This allows us to establ…
Relative Nash-type and -Sobolev inequalities for Dunkl operators and applications
S. Mustapha, M. Sifi
We investigate local variants of Nash inequalities in the context of Dunkl operators. Pseudo-Poincaré inequalities are first established using pointwise gradient estimates of the D…
Discrete harmonic functions in Lipschitz domains
Sami Mustapha, Mohamed Sifi
We prove the existence and uniqueness of a discrete nonnegative harmonic function for a random walk satisfying finite range, centering and ellipticity conditions, killed when leavi…
On a family of differential-reflection operators: intertwining operators and Fourier transform of rapidly decreasing functions
Salem Ben Said, Asma Boussen, Mohamed Sifi
We introduce a family of differential-reflection operators acting on smooth functions defined on Here is a Strum-Liouville function with addit…
Riesz transforms for Dunkl transform
Béchir Amri, Mohamed Sifi
In this paper we obtain the -boundedness of Riesz transforms for Dunkl transform for all .
Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
Jean-Philippe Anker, Fatma Ayadi, Mohamed Sifi
Let be the eigenfunctions of the Dunkl-Cherednik operator on . In this paper we express the product as an integ…
Three results in Dunkl theory
Béchir Amri, Jean-Philippe Anker, Mohamed Sifi
In this article, we establish first a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm…