The spectrum of the Laplace-Beltrami operator on the two-dimensional torus in adiabatic limit

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We obtain an asymptotic formula for the eigenvalue distribution function of the Laplace-Beltrami operator on the two-dimensional torus in the adiabatic limit given by a Kronecker foliation. Related problems in number theory are discussed.
10 pages

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Differential Geometry, Spectral Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/120575

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612695
 http://arxiv.org/abs/math/0612695

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arXiv