Bounds for spectral projectors on generic tori
Analysis of PDEs
2022-12-05 v2 Classical Analysis and ODEs
Number Theory
Abstract
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on generic tori, including generic rectangular tori. We state a conjecture and partially prove it, improving on previous results concerning arbitrary tori.
Cite
@article{arxiv.2207.02967,
title = {Bounds for spectral projectors on generic tori},
author = {Pierre Germain and Simon L. Rydin Myerson},
journal= {arXiv preprint arXiv:2207.02967},
year = {2022}
}
Comments
27 pages