Bounds for spectral projectors on the Euclidean cylinder
Classical Analysis and ODEs
2022-12-16 v1
Abstract
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for the Laplacian on the cylinder (R/Z)*R. In contrast to previous investigations into spectral projectors on tori, having one unbounded dimension available permits a compact self-contained proof.
Cite
@article{arxiv.2203.08273,
title = {Bounds for spectral projectors on the Euclidean cylinder},
author = {Pierre Germain and Simon L. Rydin Myerson},
journal= {arXiv preprint arXiv:2203.08273},
year = {2022}
}