Spectrum of Functions for the Dunkl Transform on R^d
Fractional calculus and applied analysis, Tome 10 (2007) no. 1, pp. 19-38
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
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
@article{FCAA_2007_10_1_a1,
author = {Mejjaoli, Hatem and Trim\`eche, Khalifa},
title = {Spectrum of {Functions} for the {Dunkl} {Transform} on {R^d}},
journal = {Fractional calculus and applied analysis},
pages = {19--38},
year = {2007},
volume = {10},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/FCAA_2007_10_1_a1/}
}
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/