DIRICHLET THEOREM FOR JACOBI-DUNKL EXPANSIONS

Frej Chouchene (1) , Iness Haouala

1 LAMMDA

The purpose of this paper is to study the pointwise convergence of the Jacobi-Dunkl series. Indeed, we recall some properties of the Jacobi-Dunkl coefficients. Then, we establish a Dirichlet type theorem for expansions in term of Jacobi-Dunkl polynomials.

Domaines: Mathématiques [math]; Analyse classique [math.CA]; Analyse fonctionnelle [math.FA]

Frej Chouchene, Iness Haouala. DIRICHLET THEOREM FOR JACOBI-DUNKL EXPANSIONS. 2019. ⟨hal-02126595⟩