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Weinstein–Sobolev Spaces of Exponential Type and Applications
摘    要:


Weinstein-Sobolev spaces of exponential type and applications
Authors:Ben Mohamed  Hassen  Ghribi  Belgacem
Abstract:In this paper, we introduce and study the Sobolev spaces of exponential type associated with the Weinstein operator, via some elements of harmonic analysis related to this operator. In particular, some properties, including completeness and imbedding theorem, are proved. Finally, using the theory of reproducing kernels, some applications are given for these spaces.
Keywords:Weinstein operator  Weinstein transform  distribution  Sobolev spaces
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