TITLE:
The Commutants of the Dunkl Operators on ε(Rd)
AUTHORS:
Mohamed Sifi, Fethi Soltani
KEYWORDS:
Dunkl Operators on Rd ; C∞-Functions on Rd ; Dunkl Intertwining Operator; Mean-Periodic Functions; Continuous Linear Mappings
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.4,
July
30,
2012
ABSTRACT: We consider the harmonic analysis associated with the Dunkl operators on Rd. We study the Dunkl mean-periodic functions on the space ε(Rd) (the space of C∞-functions). We characterize also the continuous linear mappings from ε(Rd) into itself which commute with the Dunkl operators.