Hilbert Transforms Associated with Dunkl-Hermite Polynomials

Néjib Ben Salem, Taha Samaali

We consider expansions of functions in $L^p(\mathbb{R},|x{|}^{2k}dx)$, $1\le p<+\infty$ with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the hea…