Lp-distributions on symmetric spaces

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dc.creatorRuzhansky, Michael
dc.date2006-11-19
dc.date.accessioned2026-07-07T07:33:06Z
dc.date.available2026-07-07T07:33:06Z
dc.descriptionThe notion of $L^p$-distributions is introduced on Riemannian symmetric spaces of noncompact type and their main properties are established. We use a geometric description for the topology of the space of test functions in terms of the Laplace-Beltrami operator. The techniques are based on a-priori estimates for elliptic operators. We show that structure theorems, similar to $\Rn$, hold on symmetric spaces. We give estimates for the convolutions.
dc.identifierhttps://arxiv.org/abs/math/0611570
dc.identifierhttp://arxiv.org/abs/math/0611570
dc.identifierResults Math. 44 (2003), 159--168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119340
dc.subjectFunctional Analysis
dc.subjectDifferential Geometry
dc.subject46F05; 46F10; 53C21; 53C35
dc.titleLp-distributions on symmetric spaces
dc.typetext

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