Lower bounds for the spectral function and for the remainder in local Weyl’s law on manifolds

DOI10.1090/S1079-6762-05-00149-6zbMath1112.58033OpenAlexW1797879437MaRDI QIDQ3432098

Dmitry Jakobson, Iosif Polterovich

Publication date: 13 April 2007

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1079-6762-05-00149-6

zbMATH Keywords

thermodynamic formalismspectral functionnegative curvatureWeyl's lawwave kernelanosov flow

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Quantum chaos (81Q50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

On \(L^p\)-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds

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