Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds

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dc.creatorBurq, N.
dc.creatorGerard, P.
dc.creatorTzvetkov, N.
dc.date2005-06-20
dc.date2006-10-17
dc.date.accessioned2026-07-07T06:42:29Z
dc.date.available2026-07-07T06:42:29Z
dc.descriptionWe give estimates for the $L^p$ norm ($2\leq p \leq +\infty$) of the restriction to a curve of the eigenfunctions of the Laplace Beltrami operator on a Riemannian surface. If the curve is a geodesic, we show that on the sphere these estimates are sharp. If the curve has non vanishing geodesic curvature, we can improve our results. We also show how our approach apply to higher dimensional manifolds.
dc.descriptionCompleted the paper to include higher dimensional cases. In particular we now deal with general restriction of eigenfunctions on submanifolds
dc.identifierhttps://arxiv.org/abs/math/0506394
dc.identifierhttp://arxiv.org/abs/math/0506394
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102057
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject34L20, 81Q10
dc.titleRestrictions of the Laplace-Beltrami eigenfunctions to submanifolds
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