Dunkl convolution and elliptic regularity for Dunkl operators
D. Brennecken, ArXiv:2308.07710 (2023).
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Brennecken, Dominik
Abstract
We discuss in which cases the Dunkl convolution of distributions, possibly
both with non-compact support, can be defined and study its analytic
properties. We prove results on the (singular-)support of Dunkl convolutions.
Based on this, we are able to prove a theorem on elliptic regularity for a
certain class of Dunkl operators, called elliptic Dunkl operators. Finally, for
the root systems of type A we consider the Dunkl-type Riesz distributions,
prove that their Dunkl convolution exists and compute their convolution.
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arXiv:2308.07710
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Brennecken D. Dunkl convolution and elliptic regularity for Dunkl operators. arXiv:230807710. Published online 2023.
Brennecken, D. (2023). Dunkl convolution and elliptic regularity for Dunkl operators. In arXiv:2308.07710.
@article{Brennecken_2023, title={Dunkl convolution and elliptic regularity for Dunkl operators}, journal={arXiv:2308.07710}, author={Brennecken, Dominik}, year={2023} }
Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” ArXiv:2308.07710, 2023.
D. Brennecken, “Dunkl convolution and elliptic regularity for Dunkl operators,” arXiv:2308.07710. 2023.
Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” ArXiv:2308.07710, 2023.