A Uniform Proof of the Macdonald-Mehta-Opdam Identity for Finite Coxeter Groups

In this note we give a new proof of the Macdonald-Mehta-Opdam integral identity for finite Coxeter groups (in the equal parameter case). This identity was conjectured by Macdonald and proved by Opdam in \cite{O1,O2} using the theory of multivariable Bessel functions, but in non-crystallographic case...

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Bibliographic Details
Main Author: Etingof, Pavel I.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: International Press 2011
Online Access:http://hdl.handle.net/1721.1/63151
https://orcid.org/0000-0002-0710-1416