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math.SP2009
A remainder estimate for Weyl's law on Liouville tori
Hugues Lapointe
The paper is concerned with the asymptotic distribution of Laplace eigenvalues on Liouville tori. Liouville metrics are the largest known class of integrable metrics on two-dimensi…
math.SP2008★ 2 cited
Average growth of the spectral function on a Riemannian manifold
Hugues Lapointe, Iosif Polterovich, Yuri Safarov
We study average growth of the spectral function of the Laplacian on a Riemannian manifold. Two types of averaging are considered: with respect to the spectral parameter and with r…