Erdelyi-Kober integrals on the cone of positive definite matrices and Radon transforms on Grassmann manifolds

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dc.creatorOurnycheva, E.
dc.date2008-06-13
dc.date2008-06-13
dc.date.accessioned2026-07-07T09:44:32Z
dc.date.available2026-07-07T09:44:32Z
dc.descriptionWe introduce bi-parametric fractional integrals of the Erdelyi-Kober type that generalize known Garding-Gindikin constructions associated to the cone of positive definite matrices. It is proved that the Radon transform, which maps a zonal function on the Grassmann manifold $G_{n,m}$ of $m$-dimensional linear subspaces of $R^n$ into a function on the similar manifold $G_{n,k}$, $ 1\leq m<k \leq n-1$, is represented as analytic continuation of the corresponding Erdelyi-Kober integral. This result shows that different Grinberg-Rubin's formulas for such transforms [GR] have, in fact, a common structure.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0806.2315
dc.identifierhttp://arxiv.org/abs/0806.2315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162905
dc.subjectFunctional Analysis
dc.subject44A12, 47G10
dc.titleErdelyi-Kober integrals on the cone of positive definite matrices and Radon transforms on Grassmann manifolds
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