Dunkl symmetric coherent pairs of measures. An application to Fourier Dunkl-Sobolev expansions

Mabrouk Sghaier, Francisco Marcellán

Let ${\mathcal{T}}_{\mu }$ be the Dunkl operator. A pair of symmetric measures $(u,v)$ supported on a symmetric subset of the real line is said to be a symmetric Dunkl-coherent pair if t…