Béchir Amri

collaborators

2 papers

math.CA2026

$L^{p}$ -Convergence of Fourier-Heckman-Opdam Expansions

Bechir Amri

We study the $L^{p}$ -convergence of Fourier expansions in terms of non-symmetric Heckman-Opdam polynomials of type $A_{1}$ . Using kernel estimates and duality arguments, we prove that…

math.CA2025

Poisson Kernels and Hilbert Transforms for Trigonometric Heckman-Opdam Polynomials of type $A_{1}$

B. Amri, A. Guesmi

In this paper, we investigate the trigonometric Heckman-Opdam polynomials of type $A_{1}$ . We establish connections with ultraspherical polynomials and derive an explicit expression…

Lp-Convergence of Fourier-Heckman-Opdam Expansions

Poisson Kernels and Hilbert Transforms for Trigonometric Heckman-Opdam Polynomials of type A1​

$L^{p}$ -Convergence of Fourier-Heckman-Opdam Expansions

Poisson Kernels and Hilbert Transforms for Trigonometric Heckman-Opdam Polynomials of type $A_{1}$