C[superscript ∞] Scaling Asymptotics for the Spectral Projector of the Laplacian
Author(s)Canzani, Yaiza; Hanin, Boris
MetadataShow full item record
This article concerns new off-diagonal estimates on the remainder and its derivatives in the pointwise Weyl law on a compact n-dimensional Riemannian manifold. As an application, we prove that near any non-self-focal point, the scaling limit of the spectral projector of the Laplacian onto frequency windows of constant size is a normalized Bessel function depending only on n. Keywords: Spectral projector, Pointwise Weyl Law, Scaling limits, Laplace eigenfunctions, Non-self-focal points
DepartmentMassachusetts Institute of Technology. Department of Mathematics
The Journal of Geometric Analysis
Canzani, Yaiza, and Boris Hanin. “C[superscript ∞] Scaling Asymptotics for the Spectral Projector of the Laplacian.” The Journal of Geometric Analysis, vol. 28, no. 1, Jan. 2018, pp. 111–22.
Author's final manuscript