Abstract
We introduce a family of commuting generalised symmetries of the Dunkl–Dirac operator inspired by the Maxwell construction in harmonic analysis. As an application, we use these generalised symmetries to construct bases of the polynomial null-solutions of the Dunkl–Dirac operator. These polynomial spaces form representation spaces of the Dunkl–Dirac symmetry algebra. For the
Citation
Hendrik De Bie. Alexis Langlois-Rémillard. Roy Oste. Joris Van der Jeugt. "GENERALISED SYMMETRIES AND BASES FOR DUNKL MONOGENICS." Rocky Mountain J. Math. 53 (2) 397 - 415, April 2023. https://doi.org/10.1216/rmj.2023.53.397
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