paper

The Weyl law for the Dirichlet Laplacian

arXiv:2511.03584

Abstract

The purpose of this paper is to review the asymptotic distribution of eigenvalues of the Dirichlet Laplacian. We introduce and recall all the relevant spectral quantities and provide a proof based on the Fourier Tauberian Theorem.

28 pages, submitted to SIGMA, Special issue on asymptotics, randomness and noncommutativity