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Generalized heat equation and applications
Journal article   Peer reviewed

Generalized heat equation and applications

Hatem Mejjaoli
Integral transforms and special functions, Vol.25(1), pp.15-33
02/01/2014
DOI: https://doi.org/10.1080/10652469.2013.811578

Abstract

Dunkl operators embedding Sobolev theorems generalized heat equation homogeneous Dunkl-Besov space homogeneous Littlewood-Paley decomposition Primary: 35L05 Secondary: 46E35 Taylor series for the Dunkl Gaussian kernel
In this article, we establish a characterization for the homogeneous Dunkl-Besov spaces via the Dunkl heat semigroup. Next we obtain the generalized Sobolev embedding theorems. Finally, we describe the Taylor series for the Dunkl Gaussian kernel.

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