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Asymptotics of the spectrum of the Laplace-Beltrami operator on tori with Liouville and infra-Liouville metrics

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Publication:4232367
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DOI10.1070/RM1997V052N02ABEH001803zbMath0920.58056MaRDI QIDQ4232367

Ya. B. Vorobets

Publication date: 10 September 1999

Published in: Russian Mathematical Surveys (Search for Journal in Brave)



zbMATH Keywords

Laplace operatorLiouville metricsWKB spectrum


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Perturbations of PDEs on manifolds; asymptotics (58J37)








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