Author(s)

Mohamed Sifi, Fethi Soltani

Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis, Tunis, Tunisia.
Higher College of Technology and Informatics, Tunis, Tunisia.

We consider the harmonic analysis associated with the Dunkl operators on R^d. We study the Dunkl mean-periodic functions on the space ε(R^d) (the space of C^∞-functions). We characterize also the continuous linear mappings from ε(R^d) into itself which commute with the Dunkl operators.

Dunkl Operators on R^d ; C^∞-Functions on R^d ; Dunkl Intertwining Operator; Mean-Periodic Functions; Continuous Linear Mappings

M. Sifi and F. Soltani, "The Commutants of the Dunkl Operators on ε(R^d)," Advances in Pure Mathematics, Vol. 2 No. 4, 2012, pp. 274-297. doi: 10.4236/apm.2012.24035.