Geodesic
Spectrum of Functions for the Dunkl Transform on R^d
Fractional calculus and applied analysis, Tome 10 (2007) no. 1, pp. 19-38.

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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.
Keywords: Dunkl Transform On R^d, Real Paley-Wiener Theorems 
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Mejjaoli, Hatem; Trimèche, Khalifa. Spectrum of Functions for the Dunkl Transform on R^d. Fractional calculus and applied analysis, Tome 10 (2007) no. 1, pp. 19-38. http://geodesic.mathdoc.fr/item/FCAA_2007_10_1_a1/