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Tunnel splitting of the spectrum of the Beltrami-Laplace operators on two-dimensional surfaces with square integrable geodesic flow

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Publication:1580169
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DOI10.1007/BF02482427zbMath1019.58009OpenAlexW1980114943MaRDI QIDQ1580169

S. Yu. Dobrokhotov, Andrej I. Shafarevich

Publication date: 18 April 2001

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02482427


zbMATH Keywords

two-dimensional surfacesspectrum of Laplace-Beltrami operatorssquare-integrable geodesic flow


Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)


Related Items (2)

Local Exponential Estimates for h-Pseudo-Differential Operators with Operator-Valued Symbols ⋮ Local exponential estimates for \(h\)-pseudodifferential operators and tunneling for Schrödinger, Dirac, and square root Klein-Gordon operators



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