B. Amri

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20112021

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6 papers · 1 filter

math.CA2020

A Generalized discrete Riesz transforms

Béchir Amri, Khawla Kerfef

In this paper, we introduce a discrete Riesz transforms associated with the non-symmetric trigonometric Heckman-Opdam polynomials of type $A_{1}$ . We prove that they can be extended…

math.CA2019

On the translation invariant operators in $ℓ^{p} (Z^{d})$

Bechir Amri, Khawla Kerfaf

In this paper we study boundedness of translation invariant operators in the discrete space $ℓ^{p} (Z^{d})$ . In this context a Mikhlin type multiplier theorem is given, yiel…

math.CA2018

On the estimates of the Dunkl Kernel

Béchir Amri, Abdessalem Gasmi

In this paper, we are interested in the estimates of the Dunkl Kernel on some special sets, following the work of M.F.E. de Jeu and M. Rösler in \cite{R3}.

math.CA2015

On the integral representations for Dunkl kernels of type $A_{2}$

Béchir Amri

We give an explicit integral formula for the Dunkl kernel associated to root system of type $A_{2}$ and parameter $k > 0$ , by exploiting recent result in [1].

math.CA2013

Note on Bessel functions of type $A_{N - 1}$

Béchir Amri

Through the theory of Jack polynomials we give an iterative method for integral formula of Dunkl-Bessel functions of type $A_{N - 1}$ and a partial product formula for it.

math.CA2011

Riesz transforms for Dunkl transform

Béchir Amri, Mohamed Sifi

In this paper we obtain the $L^{p}$ -boundedness of Riesz transforms for Dunkl transform for all $1 < p < \infty$ .