Kang Lyu

Optimal bounds for embedded eigenvalues of one-dimensional discrete Schr\"odinger operators with decaying potentials

In this paper, we consider one-dimensional discrete Schr\"odinger operators \begin{align} Hu(n)=(\Delta+V)u(n)\nonumber \end{align} on $\ell^2(\mathbb{N})$ with a self-adjoint boundary condition at $n=0$, where $\Delta$ denotes the discrete Laplacian and $V(n)$ is a real-valued perturbation satisfying $$V(n)=\frac{O(1)...