Mean-periodic functions associated with the Dunkl operators

Generalized Dunkl-Lipschitz spaces

“…In this section we state some definitions and results which are useful in the sequel and we refer for more details to the articles [7,10,11,12], [9], [24] and [26]. We first begin by some notations.…”

“…This integral transform extends to a topological automorphism to the space E(IR) (see [26] and [7]). For k ≥ 0, and λ ∈ I C, the initial problem…”

“…• There is an abstract formula for T k y , y ∈ IR, given in terms of the intertwining operator V k and its inverse, ( see [26,7] ). It takes the form of…”

Bessel and Flett Potentials associated with Dunkl Operators on $\Bbb R^d$

“…We denote this extension by V k again. In fact, V k establishes a topological isomorphism from E(IR d ) onto itself (see [16] and [3]). For y ∈ IR d the function…”

The Commutants of the Dunkl Operators on <i> ε</i>(R<sup>d</sup>)

“…In the one-dimensional case (d = 1), the Dunkl convolution operators and the Dunkl mean-periodic functions are studied in [7][8][9], on the space of entire functions on .…”