{"date_updated":"2024-05-14T07:02:03Z","language":[{"iso":"eng"}],"publication":"arXiv:2308.07710","abstract":[{"text":"We discuss in which cases the Dunkl convolution of distributions, possibly\r\nboth with non-compact support, can be defined and study its analytic\r\nproperties. We prove results on the (singular-)support of Dunkl convolutions.\r\nBased on this, we are able to prove a theorem on elliptic regularity for a\r\ncertain class of Dunkl operators, called elliptic Dunkl operators. Finally, for\r\nthe root systems of type A we consider the Dunkl-type Riesz distributions,\r\nprove that their Dunkl convolution exists and compute their convolution.","lang":"eng"}],"title":"Dunkl convolution and elliptic regularity for Dunkl operators","author":[{"full_name":"Brennecken, Dominik","last_name":"Brennecken","id":"55911","first_name":"Dominik"}],"year":"2023","user_id":"55911","_id":"46614","status":"public","date_created":"2023-08-22T09:27:50Z","external_id":{"arxiv":["2308.07710"]},"citation":{"chicago":"Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” <i>ArXiv:2308.07710</i>, 2023.","mla":"Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” <i>ArXiv:2308.07710</i>, 2023.","apa":"Brennecken, D. (2023). Dunkl convolution and elliptic regularity for Dunkl operators. In <i>arXiv:2308.07710</i>.","short":"D. Brennecken, ArXiv:2308.07710 (2023).","ama":"Brennecken D. Dunkl convolution and elliptic regularity for Dunkl operators. <i>arXiv:230807710</i>. Published online 2023.","ieee":"D. Brennecken, “Dunkl convolution and elliptic regularity for Dunkl operators,” <i>arXiv:2308.07710</i>. 2023.","bibtex":"@article{Brennecken_2023, title={Dunkl convolution and elliptic regularity for Dunkl operators}, journal={arXiv:2308.07710}, author={Brennecken, Dominik}, year={2023} }"},"type":"preprint"}