61 citations
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math.CA2009★ 2 cited
Hilbert Transforms Associated with Dunkl-Hermite Polynomials
Néjib Ben Salem, Taha Samaali
We consider expansions of functions in , with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the hea…
math.CA2008★ 3 cited
Dunkl Hyperbolic Equations
Hatem Mejjaoli
We introduce and study the Dunkl symmetric systems. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite speed of it. Nex…