Dunkl-Sobolev spaces of exponential type and applications

We study the Sobolev spaces of exponential type associated with the Dunkl operators. Some properties including completeness and imbedding theorem are proved. Next we introduce a classes of symbols of exponential type and the associated pseudo-differential-difference operators, which naturally act on...

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Bibliographic Details
Main Author: Hatem Mejjaoli
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2011/728563