A uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups

Simple item page
dc.creatorEtingof, Pavel
dc.date2009-03-29
dc.date.accessioned2026-07-07T12:57:44Z
dc.date.available2026-07-07T12:57:44Z
dc.descriptionWe give a new proof of the Macdonald-Mehta-Opdam integral identity for finite Coxeter groups. This identity was conjectured by Macdonald and proved by Opdam in 1993 using the theory of multivariable Bessel functions, but in non-crystallographic cases the proof relied on a computer calculation by F. Garvan. Our proof is somewhat more elementary (in particular, it does not use multivariable Bessel functions), and uniform (does not refer to the classification of finite Coxeter groups and does not use computers).
dc.description10 pages, latex
dc.identifierhttps://arxiv.org/abs/0903.5084
dc.identifierhttp://arxiv.org/abs/0903.5084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225038
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleA uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups
dc.typetext

Files

Collections

arXiv