Cuspidal hypergeometric functions

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dc.creatorOpdam, Eric M.
dc.date1998-08-06
dc.date.accessioned2026-07-07T05:25:39Z
dc.date.available2026-07-07T05:25:39Z
dc.descriptionWe prove the Plancherel formula for hypergeometric functions associated to a root system in the situation when the root multiplicities are negative (but close to 0). As a result we obtain a classification of the hypergeometric functions that are square integrable, and we find a closed formula for their square norm as a function of the root multiplicities.
dc.description18 pages, no figures. This paper is dedicated to Richard Askey, on the occasion of his 65th birthday. It will appear in a special issue of Methods and Applications of Analysis
dc.identifierhttps://arxiv.org/abs/math/9808035
dc.identifierhttp://arxiv.org/abs/math/9808035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77259
dc.subjectRepresentation Theory
dc.subjectSpectral Theory
dc.subject33C80;35P10
dc.titleCuspidal hypergeometric functions
dc.typetext

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