Clifford analysis for finite reflection groups

DOI10.1080/17476930500482499zbMath1115.30053OpenAlexW2112830862WikidataQ58038921 ScholiaQ58038921MaRDI QIDQ3423507

Guang Bin Ren, Paula Cerejeiras, Uwe Kaehler

Publication date: 14 February 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930500482499

zbMATH Keywords

Clifford analysisDunkl operatorsCauchy integral formulaDunkl--Dirac operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (9)

A Dirac-Dunkl equation on \(S^2\) and the Bannai-Ito algebra ⋮ Deriving harmonic functions in Dunkl-Clifford analysis and applications ⋮ On the Dunkl version of monogenic polynomials ⋮ Howe duality in Dunkl superspace ⋮ Almansi decomposition of polynomials of quaternionic Dirac operators ⋮ Dirichlet type problems for Dunkl-Poisson equations ⋮ Clifford algebras, Fourier transforms, and quantum mechanics ⋮ A generalization of Fueter's theorem in Dunkl–Clifford analysis ⋮ DUNKL-POISSON EQUATION AND RELATED EQUATIONS IN SUPERSPACE

Cites Work

• Unnamed Item
• Exact operator solution of the Calogero-Sutherland model
• Positivity of Dunkl's intertwining operator
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• Common algebraic structure for the Calogero - Sutherland models
• Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
• Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel

This page was built for publication: Clifford analysis for finite reflection groups