Difference Fourier transforms for nonreduced root systems

Simple item page
dc.creatorStokman, Jasper V.
dc.date2001-11-20
dc.date.accessioned2026-07-07T04:44:41Z
dc.date.available2026-07-07T04:44:41Z
dc.descriptionIn the first part of the paper kernels are constructed which meromorphically extend the Macdonald-Koornwinder polynomials in their degrees. In the second part of the paper the kernels associated with rank one root systems are used to define nonsymmetric variants of the spherical Fourier transform on the quantum SU(1,1) group. Related Plancherel and inversion formulas are derived using double affine Hecke algebra techniques.
dc.description68 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0111221
dc.identifierhttp://arxiv.org/abs/math/0111221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62692
dc.subjectQuantum Algebra
dc.subjectClassical Analysis and ODEs
dc.subject33D45, 33D52, 33D80
dc.titleDifference Fourier transforms for nonreduced root systems
dc.typetext

Files

Collections

arXiv