One Can Hear the Area of a Torus by Hearing the Eigenvalues of the Polyharmonic Operators
This paper considers the asymptotic properties for the spectrum of a positive integer power l of the Laplace-Beltrami operator acting on an n-dimensional torus T. If N(λ) is the number of eigenvalues counted with multiplicity, smaller than a real positive number, we establish a Weyl-type asymptotic...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2014-07-01
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Series: | Demonstratio Mathematica |
Subjects: | |
Online Access: | http://www.degruyter.com/view/j/dema.2014.47.issue-3/dema-2014-0048/dema-2014-0048.xml?format=INT |