Inversion formulas for the Dunkl intertwining operator and its dual on spaces of functions and distributions.
Biorthogonal multiresolution analyses and decompositions of Sobolev spaces.
Spectrum of Functions for the Dunkl Transform on R^d
Mathematics Subject Classification: 42B10 In this paper, we establish real Paley-Wiener theorems for the Dunkl transform on R^d. More precisely, we characterize the functions in the Schwartz space S(R^d) and in L^2k(R^d) whose Dunkl transform has bounded, unbounded, convex and nonconvex support.
Bochner-Hecke Theorems for the Weinstein Transform and Application
MSC 2010: 42B10, 44A15 In this paper we prove Bochner-Hecke theorems for the Weinstein transform and we give an application to homogeneous distributions.
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