The Dunkl weight function for rational Cherednik algebras

Abstract In this paper we prove the existence of the Dunkl weight function $$K_{c, \lambda }$$Kc,λ for any irreducible representation $$\lambda $$λ of any finite Coxeter group W, generalizing previous results of Dunkl. In particular, $$K_{c, \lambda }$$Kc,λ is a family of tempered distributions on...

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Bibliographic Details
Main Author: Shelley-Abrahamson, Seth
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2021
Online Access:https://hdl.handle.net/1721.1/131366