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Title: Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators
Authors: Assal, Miloud
Bouguila, Raouya
Keywords: Dunkl Operators
Pseudodifferential Operator
Sobolev Spaces
Issue Date: 2006
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 9, No 3, (2006), 237p-245p
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.
Description: 2000 Mathematics Subject Classification: 35E45
ISSN: 1311-0454
Appears in Collections:2006

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