Decomposition of polyharmonic functions with respect to the complex Dunkl Laplacian

DOI10.1155/2010/947518zbMath1194.31008OpenAlexW2006674195WikidataQ58197923 ScholiaQ58197923MaRDI QIDQ978472

Helmuth R. Malonek, Guang Bin Ren

Publication date: 24 June 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223347

zbMATH Keywords

polyharmonic functionDunkl LaplacianDunkl harmonic function

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Harmonic analysis of several complex variables (32A50)

Cites Work

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• Solution of biharmonic equations with application to radar imaging
• Representation and uniqueness theorems for polyharmonic functions
• Reflection groups and orthogonal polynomials on the sphere
• Almansi decomposition for Dunkl operators
• Complex Dunkl operators
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Almansi‐type theorems in Clifford analysis
• Intertwining Operators Associated to the Group S 3

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