Pólya's conjecture for thin products

Xiang He, Zuoqin Wang

Let $\Omega \subset {\mathbb{R}}^d$ be a bounded Euclidean domain. According to the famous Weyl law, both its Dirichlet eigenvalue ${\lambda }_k(\Omega )$ and its Neumann eigenvalue ${\mu }_k(\Omega )$ have the same…