Ben Salem, NejibSamaali, Taha2024-07-122024-07-122009Ben Salem, N. ve Samaali, T. (2009). Hilbert transforms and related topics associated with the Dunkl-Hermite functions. Maltepe Üniversitesi. s. 303.9.78605E+12https://hdl.handle.net/20.500.12415/2946We consider expansions of functions in L p (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 setting and study their properties. Next, we define and deal with Hilbert transforms and conjugate Poisson integrals in the same setting. The formers occur to be Calder´on-Zygmund operators and hence their mapping properties follow from general results.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object304303