Geodesic
Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators
Fractional calculus and applied analysis, Tome 9 (2006) no. 3, pp. 237-245.

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In this paper we study generalized Sobolev spaces H^sG of exponential type associated with the Dunkl operators based on the space G of test functions for generalized hyperfunctions and investigate their properties. Moreover, we introduce a class of symbols of exponential type and their associated pseudodifferential operators related to the Dunkl operators, which act naturally on H^sG.
Keywords: Dunkl Operators, Pseudodifferential Operator, Sobolev Spaces, 35E45 
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Assal, Miloud; Bouguila, Raouya. Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators. Fractional calculus and applied analysis, Tome 9 (2006) no. 3, pp. 237-245. http://geodesic.mathdoc.fr/item/FCAA_2006_9_3_a2/