Sharp asymptotics of the spectrum of the Laplace operator on a manifold with periodic geodesics

zbMath0701.58058MaRDI QIDQ914226

T. E. Gureev, Yu. G. Safarov

Publication date: 1989

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laplace-Beltrami operatoreigenvalue counting function asymptoticsgeodesic flow with reflections

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Geodesics in global differential geometry (53C22)

Related Items (3)

Unnamed Item ⋮ Spectrum of the Laplace operator on closed surfaces ⋮ Meromorphic continuation of the spectral shift function

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