Sampling and Weyl's Law on compact Riemannian manifolds

  • Isaac Z. Pesenson
  • Published 2017 in
    2017 International Conference on Sampling Theory…

Abstract

The well known Weyl's asymptotic formula gives an approximation to the number Nω of eigenvalues (counted with multiplicities) on an interval [0, ω] of the Laplace-Beltrami operator on a compact Riemannian manifold M. In this paper we approach this question from the point of view of Shannon-type sampling on compact Riemannian manifolds. Namely, we show that… (More)

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