Average growth of the spectral function on a Riemannian manifold

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dc.creatorLapointe, Hugues
dc.creatorPolterovich, Iosif
dc.creatorSafarov, Yuri
dc.date2008-03-28
dc.date2008-09-23
dc.date.accessioned2026-07-07T10:04:11Z
dc.date.available2026-07-07T10:04:11Z
dc.descriptionWe study average growth of the spectral function of the Laplacian on a Riemannian manifold. Two types of averaging are considered: with respect to the spectral parameter and with respect to a point on a manifold. We obtain as well related estimates of the growth of the pointwise zeta-function along vertical lines in the complex plane. Some examples and open problems regarding almost periodic properties of the spectral function are also discussed.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0803.4171
dc.identifierhttp://arxiv.org/abs/0803.4171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169573
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject58J50; 35P20
dc.titleAverage growth of the spectral function on a Riemannian manifold
dc.typetext

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