arXiv subjects

Khalifa Trimèche

Publications and source records attributed to Khalifa Trimèche.

2 recordsLinked to original sources

arXiv2008

Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions

In this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual ${}^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V_k^{-1}$ and ${}^tV_k^{-1}$, and we give some applications.

math.CA↗

arXiv2005

Real Paley-Wiener theorems for the Dunkl transform on Rd

In this paper, we establish real Paley-Wiener theorems for the Dunkl transform on Rd. More precisely, we characterize the functions in the Schwartz space S(IRd) and in L2k(Rd) whose Dunkl transform has bounded, unbounded, convex and nonconvex support.

math.FA↗