Deriving harmonic functions in Dunkl-Clifford analysis and applications

DOI10.1007/S00006-011-0302-8zbMath1257.33014OpenAlexW2027670455MaRDI QIDQ1934345

Shanshan Li, Ming-gang Fei

Publication date: 28 January 2013

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

Full work available at URL: https://doi.org/10.1007/s00006-011-0302-8

zbMATH Keywords

reflection groupFueter's theoremDunkl-Dirac operatorDunkl-harmonic functionDunkl-monogenic function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Clifford algebras, spinors (15A66)

Cites Work

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• A generalization of Fueter's theorem
• Clifford analysis for finite reflection groups
• An alternative proof of Fueter's theorem
• Fueter's theorem and its generalizations in Dunkl–Clifford analysis
• Differential-Difference Operators Associated to Reflection Groups

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