Sampling and Weyl's Law on compact Riemannian manifolds

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


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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