Abstract
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.
Original language | English (US) |
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Pages (from-to) | 111-122 |
Number of pages | 12 |
Journal | Journal of Geometric Analysis |
Volume | 28 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2018 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Geometry and Topology
Keywords
- Laplace eigenfunctions
- Non-self-focal points
- Pointwise Weyl Law
- Scaling limits
- Spectral projector