On the remainder in the Weyl formula for the Euclidean disk

Yves Colin de Verdìère

Type: Article

Publication Date: 2011-01-01

Citations: 5

DOI: https://doi.org/10.5802/tsg.283

Abstract

We prove a 2-terms Weyl formula for the counting function N(μ) of the spectrum of the Laplace operator in the Euclidean disk with a sharp remainder estimate Oμ 2/3 .

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