Bounds for spectral projectors on the Euclidean cylinder
arXiv:2203.08273 · doi:10.5802/crmath.378
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.