Dunkl completely monotonic functions
Jamel El Kamel, Khaled Mehrez
TL;DR
This paper introduces Dunkl completely monotonic functions, establishing a specialized version of Schoenberg's theorem within the Dunkl framework, advancing the understanding of harmonic analysis in this setting.
Contribution
It defines Dunkl completely monotonic functions and proves a restricted form of Schoenberg's theorem adapted to the Dunkl context.
Findings
Introduction of Dunkl completely monotonic functions
A restricted version of Schoenberg's theorem in Dunkl setting
Advancement in harmonic analysis with Dunkl operators
Abstract
We introduce the notion of Dunkl completely monotonic functions on . We establish a restrictive version of the analogue of Schoenberg's theorem in Dunkl setting.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.