Local and global analysis of eigenfunctions

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dc.creatorZelditch, Steve
dc.date2009-03-19
dc.date.accessioned2026-07-07T12:54:45Z
dc.date.available2026-07-07T12:54:45Z
dc.descriptionThis is a survey on eigenfunctions of the Laplacian on Riemannian manifolds (mainly compact and without boundary). We discuss both local results obtained by analyzing eigenfunctions on small balls, and global results obtained by wave equation methods. Among the main topics are nodal sets, quantum limits, and $L^p$ norms of global eigenfunctions.
dc.descriptionA survey on eigenfunctions for the Handbook of Geometric Analysis, no. 1: L. Ji, P. Li, R. Schoen and L. Simon (eds.),
dc.identifierhttps://arxiv.org/abs/0903.3420
dc.identifierhttp://arxiv.org/abs/0903.3420
dc.identifierAdvanced Lectures in Mathematics (ALM) 7, 545-658 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224040
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.titleLocal and global analysis of eigenfunctions
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