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Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators

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Authors: Assal, MiloudBouguila, Raouya
Issue Date: 2006
Citation: Fractional Calculus and Applied Analysis, Vol. 9, No 3, (2006), 237p-245p Copy to clipboard
ISSN: 1311-0454
URI: http://hdl.handle.net/10525/1281 Copy to clipboard
Note:

2000 Mathematics Subject Classification: 35E45

Abstract: 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.
Language: en
Publisher: Institute of Mathematics and Informatics, Bulgarian Academy of SciencesSubject: Dunkl OperatorsPseudodifferential OperatorSobolev Spaces35E45
Type: Article