On the Dunkl version of monogenic polynomials

DOI10.1007/S00006-011-0280-XzbMath1263.15025OpenAlexW2004004004MaRDI QIDQ411149

Chokri Yacoub

Publication date: 4 April 2012

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-011-0280-x

zbMATH Keywords

Kelvin transformClifford algebraDunkl monogenic functionsDunkl monogenic polynomialsDunkl-Dirac operator

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66)

Related Items (2)

Special classes of monogenic functions in \(\mathbb {H}\) ⋮ Generalised symmetries and bases for Dunkl monogenics

Cites Work

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• Fischer decomposition and Cauchy kernel for Dunkl-Dirac operators
• The Howe duality for the Dunkl version of the Dirac operator
• Kelvin transforms and harmonic polynomials on the Heisenberg group
• Clifford analysis: History and perspective
• Harmonic Function Theory
• Clifford analysis for finite reflection groups
• Fueter's theorem and its generalizations in Dunkl–Clifford analysis
• Differential-Difference Operators Associated to Reflection Groups
• Harmonic Polynomials Associated With Reflection Groups
• Kelvin transform and multi-harmonic polynomials

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