Chaabane Rejeb

activity

20232026

collaborators

4 papers

math.FA2026

The Fractional Dunkl Laplacian: Extension Problem and Fundamental Solution

Chaabane Rejeb

Consider the Dunkl Laplacian $Δ_{k}$ associated with a root system $Φ$ in $R^{d}$ and a nonnegative multiplicity function $k$ on $Φ$ . In this paper, we establish a Caffarelli-Silvestr…

math-ph2024

WDVV solutions associated with the genus one holomorphic differential

Chaabane Rejeb

Consider the genus one Hurwitz space $H_{1} (n_{0}, \dots, n_{m})$ of ramified covering of fixed degree with $m + 1$ prescribed poles of order $n_{0} + 1, \dots, n_{m} + 1$ , respectively. Bas…

math-ph2023

New formula for the prepotentials associated with Hurwitz-Frobenius manifolds and generalized WDVV equations

Chaabane Rejeb

We consider the Hurwitz spaces of ramified coverings of $P^{1}$ with prescribed ramification profile over the point at infinity. By means of a particular symmetric bidiffere…

math.AP2023

Green function and Poisson kernel associated to root systems for annular regions

Chaabane Rejeb

Let $Δ_{k}$ be the Dunkl Laplacian relative to a fixed root system $R$ in $R^{d}$ , $d \geq 2$ , and to a nonnegative multiplicity function $k$ on $R$ . Our fir…