Geodesic
An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform
Fractional calculus and applied analysis, Tome 9 (2006) no. 3, pp. 247-264.

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We establish an analogue of Beurling-Hörmander’s theorem for the Dunkl-Bessel transform FD,B on R(d+1,+). We deduce an analogue of Gelfand-Shilov, Hardy, Cowling-Price and Morgan theorems on R(d+1,+) by using the heat kernel associated to the Dunkl-Bessel-Laplace operator.
Keywords: Dunkl-Bessel Transform, Beurling-Hörmander’s Theorem, Hardy Theorem, Morgan Theorem, Gelfand-Shilov Theorem, 35R10, 44A15 
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Mejjaoli, Hatem. An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform. Fractional calculus and applied analysis, Tome 9 (2006) no. 3, pp. 247-264. http://geodesic.mathdoc.fr/item/FCAA_2006_9_3_a3/