Estimates from below for the spectral function and for the remainder in local Weyl's law

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dc.creatorJakobson, Dmitry
dc.creatorPolterovich, Iosif
dc.date2005-05-19
dc.date2006-11-08
dc.date.accessioned2026-07-07T06:39:59Z
dc.date.available2026-07-07T06:39:59Z
dc.descriptionWe obtain asymptotic lower bounds for the spectral function of the Laplacian and for the remainder in local Weyl's law on manifolds. In the negatively curved case, thermodynamic formalism is applied to improve the estimates. Key ingredients of the proof include the wave equation parametrix, a pretrace formula and the Dirichlet box principle. Our results develop and extend the unpublished thesis of A. Karnaukh.
dc.description27 pages. To appear in GAFA
dc.identifierhttps://arxiv.org/abs/math/0505400
dc.identifierhttp://arxiv.org/abs/math/0505400
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101287
dc.subjectSpectral Theory
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject58J50
dc.titleEstimates from below for the spectral function and for the remainder in local Weyl's law
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