Liouville's property and Poisson's equation for the generalized Dunkl Laplacian.

DOI10.1016/j.crma.2003.09.032zbMath1029.22013OpenAlexW2076124316MaRDI QIDQ1420152

Laurent Godefroy, Léonard Gallardo

Publication date: 28 January 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.09.032

zbMATH Keywords

Poisson equationgeneralized Dunkl Laplacian

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Analysis on real and complex Lie groups (22E30) Difference equations (39A99)

Related Items

Potential theory associated with the Dunkl Laplacian ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ Mean value properties for Dunkl-harmonic and Dunkl-polyharmonic functions ⋮ A new mean value property for harmonic functions relative to the Dunkl-Laplacian operator and applications ⋮ SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS

Cites Work

• Unnamed Item
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• L'équation de Poisson et les noyaux de Green associés à un opérateur différentiel singulier sur R+
• On a mean value property associated with the dunkl laplacian operator and applications

This page was built for publication: Liouville's property and Poisson's equation for the generalized Dunkl Laplacian.