Ben Salem, Nejib; Samaali, Taha
(Symmetry, Integrability and Geometry: Methods and Applications, 2009)
We consider expansions of functions in Lp(R,|x|2kdx), 1 ≤ p < +∞ with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the heat-diffusion and Poisson integrals in the one-dimensional Dunkl ...