{"type":"journal_article","title":"Dunkl convolution and elliptic regularity for Dunkl operators","year":"2024","date_updated":"2024-10-07T11:46:15Z","doi":"10.1002/mana.202300370","publication":"Mathematische Nachrichten","_id":"56366","language":[{"iso":"eng"}],"abstract":[{"text":"AbstractWe 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 system we consider the Riesz distributions and prove that their Dunkl convolution exists and that  holds.","lang":"eng"}],"publication_identifier":{"issn":["0025-584X","1522-2616"]},"publisher":"Wiley","user_id":"55911","author":[{"last_name":"Brennecken","first_name":"Dominik","id":"55911","full_name":"Brennecken, Dominik"}],"status":"public","citation":{"mla":"Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” Mathematische Nachrichten, Wiley, 2024, doi:10.1002/mana.202300370.","ieee":"D. Brennecken, “Dunkl convolution and elliptic regularity for Dunkl operators,” Mathematische Nachrichten, 2024, doi: 10.1002/mana.202300370.","ama":"Brennecken D. Dunkl convolution and elliptic regularity for Dunkl operators. Mathematische Nachrichten. Published online 2024. doi:10.1002/mana.202300370","chicago":"Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” Mathematische Nachrichten, 2024. https://doi.org/10.1002/mana.202300370.","apa":"Brennecken, D. (2024). Dunkl convolution and elliptic regularity for Dunkl operators. Mathematische Nachrichten. https://doi.org/10.1002/mana.202300370","bibtex":"@article{Brennecken_2024, title={Dunkl convolution and elliptic regularity for Dunkl operators}, DOI={10.1002/mana.202300370}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Brennecken, Dominik}, year={2024} }","short":"D. Brennecken, Mathematische Nachrichten (2024)."},"date_created":"2024-10-07T11:44:00Z","publication_status":"published","department":[{"_id":"555"}]}