Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator

Hatem Mejjaoli; Khalifa Trimèche

doi:10.1080/10652460412331270689

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Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator

Journal article

Peer reviewed

Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator

Hatem Mejjaoli and Khalifa Trimèche

Integral transforms and special functions, Vol.15(6), pp.523-548

01/12/2004

DOI: https://doi.org/10.1080/10652460412331270689

Abstract

Dunkl Laplacian operator

Hypoanalyticity

Hypoellipticity

We define the Sobolev spaces and associated with the Dunkl operators, and prove some of their properties. Next, we prove the hypoellipticity and the hypoanalyticity of the Dunkl Laplacian operator on a W-invariant open set of ℝ d .

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Title: Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator
Creators - without role: Hatem Mejjaoli
Khalifa Trimèche
Publication Details: Integral transforms and special functions, Vol.15(6), pp.523-548
Publisher: Taylor & Francis
Identifiers: 9929613108331
Academic Unit: Taibah University
Language: English
Resource Type: Journal article