Resolvent Expansions at All Spectral Thresholds for Three-Dimensional Discrete Schrödinger Operators

Yanhong Chen, Sisi Huang, Xiaohua Yao

This paper studies resolvent expansions at all four spectral thresholds for the discrete Schrödinger operator $H=-\Delta +V$ on ${\mathbb{Z}}^3$, where $\Delta$ denotes the discrete Laplacian on $\mat…