Spectral cluster bounds for orthonormal functions on manifolds with nonsmooth metrics
Analysis of PDEs
2025-05-12 v1 Spectral Theory
Abstract
We establish spectral cluster bounds for families of orthonormal functions associated to the Laplace-Beltrami operator on a compact Riemannian manifold. The metric is only assumed to be of class , where .
Keywords
Cite
@article{arxiv.2505.05904,
title = {Spectral cluster bounds for orthonormal functions on manifolds with nonsmooth metrics},
author = {Jean-Claude Cuenin and Ngoc Nhi Nguyen and Xiaoyan Su},
journal= {arXiv preprint arXiv:2505.05904},
year = {2025}
}