Lectures on Dunkl operators

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dc.creatorOpdam, Eric M.
dc.date1998-12-01
dc.date.accessioned2026-07-07T05:27:04Z
dc.date.available2026-07-07T05:27:04Z
dc.descriptionThese are the lecture notes of a series of lectures on Dunkl operators. We discuss the underlying algebraic structure of the degenerate double affine Hecke algebra, intertwiners and shift operators. We apply this to Macdonald theory. We also discuss the ``compact'' and ``noncompact'' spectral decomposition of these operators. In the attractive noncompact situation we classify the discrete eigenfunctions and compute their square norms.
dc.descriptionNotes of series of lectures held during the 1997 workshop ``Harmonic analysis on homogeneous spaces and representation of Lie groups'', RIMS, Kyoto, Japan
dc.identifierhttps://arxiv.org/abs/math/9812007
dc.identifierhttp://arxiv.org/abs/math/9812007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77786
dc.subjectRepresentation Theory
dc.subjectSpectral Theory
dc.subject33C80; 35P10; 46L45
dc.titleLectures on Dunkl operators
dc.typetext

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