论文标题
欧几里得圆柱体上光谱投影仪的边界
Bounds for spectral projectors on the Euclidean cylinder
论文作者
论文摘要
我们证明，对于圆柱体（R/Z）*r上的laplacian的薄球形壳上的光谱投影仪的规范，我们证明了基本的最佳边界。与先前对Tori光谱投影仪的调查相反，可用的一个无限尺寸可提供紧凑的独立证明。
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.
