B. Amri

activity

20092023

most citedLaplace-type integral representations of the generalized Bessel function and of the Dunkl kernel of type

B_{2}

7 citations · 12 across the 11 of their papers we have counts for

collaborators

15 papers

math.CA2023

Product formula for one-dimensional $(k, a)$ -generalized Fourier kernel

Bechir Amri

In this paper, a product formula for the one-dimensional $(k, a)$ -generalized Fourier kernel is given for $k \geq 0$ , $a > 0$ and $2 k > a - 1$ , extending the special case when $a=\frac{2}{n…

math.CA2021

About integral product formula for Jack polynomials of two variables

Béchir Amri

We present an integral product formula for Jack polynomials of two variables, extending that of zonal polynomials. It provides another way to find the explicit integral representat…

math.CV2021

On the structure of the ring of integer-valued entire functions

Béchir Amri

The present paper studies structure of the ring of integer-valued entire functions. We characterize certain classes of prime and maximal ideals and investigate some of their proper…

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.FA2019

Semigroup and Riesz transform for the Dunkl- Schrödinger operators

Béchir Amri, Amel Hammi

Let $L_{k} = - Δ_{k} + V$ be the Dunk- Schrödinger operators, where $Δ_{k} = \sum_{j = 1}^{d} T_{j}^{2}$ is the Dunkl Laplace operator associated to the dunkl operators $T_{j}$ on $R^{d}$ and $V$ i…

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…