On the remainder in the Weyl formula for the Euclidean disk

DOI10.5802/tsg.283zbMath1379.35207arXiv1104.2233OpenAlexW2105557421MaRDI QIDQ5365586

Yves Colin de Verdière

Publication date: 6 October 2017

Published in: Séminaire de théorie spectrale et géométrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2233

zbMATH Keywords

eigenvaluesLaplace operatorBessel functionslattice point problemWeyl asymptotic formula

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lattice points in specified regions (11P21)

Related Items (9)

The Weyl formula for planar annuli ⋮ Bounding the heat trace of a Calabi-Yau manifold ⋮ Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? ⋮ Fast Expansion into Harmonics on the Disk: A Steerable Basis with Fast Radial Convolutions ⋮ Pólya's conjecture for Euclidean balls ⋮ Joint asymptotic expansions for Bessel functions ⋮ An improved remainder estimate in the Weyl formula for the planar disk ⋮ Differences between Robin and Neumann eigenvalues ⋮ A note on the Weyl formula for balls in ℝ^{𝕕}

This page was built for publication: On the remainder in the Weyl formula for the Euclidean disk