Howe duality in Dunkl superspace

DOI10.1007/s11425-010-4063-yzbMath1213.30087OpenAlexW1984333901MaRDI QIDQ625937

Guang Bin Ren

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4063-y

zbMATH Keywords

Dirac operatorsuperspaceDunkl operatorsFischer decomposition

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Analysis on supermanifolds or graded manifolds (58C50) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (3)

Almansi decomposition of polynomials of quaternionic Dirac operators ⋮ Dirichlet type problems for Dunkl-Poisson equations ⋮ DUNKL-POISSON EQUATION AND RELATED EQUATIONS IN SUPERSPACE

Cites Work

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• Schrödinger equation with delta potential in superspace
• Segal-Bargmann transforms associated with finite Coxeter groups
• The Howe duality for the Dunkl version of the Dirac operator
• Fourier transform and related integral transforms in superspace
• The Howe dual pair in Hermitean Clifford analysis
• Calogero-Moser-Sutherland models. Workshop, Centre de Recherches Mathématique, Montréal, Canada, March 10--15, 1997
• Correct rules for Clifford calculus on superspace
• Almansi decomposition for Dunkl operators
• A Clifford analysis approach to superspace
• Fundamental solutions for the super Laplace and Dirac operators and all their natural powers
• Clifford analysis for finite reflection groups
• Almansi‐type theorems in Clifford analysis
• Spherical harmonics and integration in superspace
• Almansi decompositions for polyharmonic, polyheat, and polywave functions

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