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19982008
most citedHow large can the first eigenvalue be on a surface of genus two?

11 citations · 24 across the 6 of their papers we have counts for

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Showing 2008 · math.SPShow all

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math.SP2008★ 9 cited

Pleijel's nodal domain theorem for free membranes

Iosif Polterovich

We prove an analogue of Pleijel's nodal domain theorem for piecewise analytic planar domains with Neumann boundary conditions. This confirms a conjecture made by Pleijel in 1956. T…

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…