A uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups
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 cases the proof relied on a …