Abstract
We give characterizations of the Dunkl polyharmonic functions, i.e., solutions to the iteration of the Dunkl-Laplace operator \(\Delta_\kappa\) which is a differential-reflection operator associated with a Coxeter–Weil group \(W\) generated by a finite set of reflections and an invariant multiplicity function \(\kappa\), in terms of integral means over Euclidean balls and spheres.
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Łysik, G. Mean value characterizations of the Dunkl polyharmonic functions. Acta Math. Hungar. 172, 119–130 (2024). https://doi.org/10.1007/s10474-024-01398-y
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DOI: https://doi.org/10.1007/s10474-024-01398-y