paper

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

arXiv:math/0612695

Abstract

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

Cited by in corpus (1)

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