Average error for spectral asymptotics on surfaces

zbMath1330.47012arXiv1301.4963MaRDI QIDQ905410

Robert S. Strichartz

Publication date: 19 January 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4963

zbMATH Keywords

almost periodic functionsspectral asymptoticsLaplaciansurfaces of constant curvatureaverage errorcone point singularities

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectrum, resolvent (47A10) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (8)

Spectral asymptotics on compact Heisenberg manifolds ⋮ Spectrum of the Laplacian on regular polyhedra ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Average number of lattice points in a disk ⋮ Unexpected spectral asymptotics for wave equations on certain compact spacetimes ⋮ Weyl law improvement for products of spheres ⋮ Defining curvature as a measure via Gauss-Bonnet on certain singular surfaces ⋮ Another way to look at spectral asymptotics on spheres

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