Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators

Markus Klein, Elke Rosenberger

We analyze a general class of difference operators $H_{\epsilon }=T_{\epsilon }+V_{\epsilon }$ on ${\ell }^2(\epsilon {\mathbb{Z}}^d)$, where $V_{\epsilon }$ is a multi-well poten…