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...

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Bibliographic Details
Main Authors: Guo Shunzi, Jin Jinyun
Format: Article
Language:English
Published: De Gruyter 2014-07-01
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