Harmonic Analysis of Radon Filtrations for S(n) and GL(n,q)

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dc.creatorYanez, M. Francisca
dc.date2009-01-18
dc.date.accessioned2026-07-07T12:31:30Z
dc.date.available2026-07-07T12:31:30Z
dc.descriptionWe present a unified approach to the study of Radon transforms related to symmetric groups and to general linear groups GL(n,q) regarded as q-analogues of the former. In both cases, we define a sequence of generalized Radon transforms which are intertwining operators for natural representations associated to Gel'fand spaces for our groups. This sequence enables us to decompose in a recursive way these natural representations and to compute explicitly the associated spherical functions. Our methods and results are related by q-analogy.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0901.2669
dc.identifierhttp://arxiv.org/abs/0901.2669
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216466
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20C33, 20C30, 20C15
dc.titleHarmonic Analysis of Radon Filtrations for S(n) and GL(n,q)
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