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math.SP2008
On the comparison of the Dirichlet and Neumann counting functions
Y. Safarov
The aim of the paper is to show that L. Friedlander's results on the relation between Dirichlet and Neumann counting functions (Arch. Ration. Mech. Anal. 116, 1991) remain valid in…
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…