The Howe duality for the Dunkl version of the Dirac operator

Abstract

It was shown by B. Orsted and S.

Ben Said that there is a deformation of the Fischer decomposition for polynomials with respect to the Dunkl harmonic functions. The aim of the article is to describe an analogue of the Fischer decomposition for solutions of the Dunkl Dirac operator.

Keywords

• duality
• Dunkl
• version
• Dirac
• operator