On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension

D. E. Pelinovsky, A. Stefanov

Based on the recent work \cite{KKK} for compact potentials, we develop the spectral theory for the one-dimensional discrete Schrödinger operator $$ H ϕ= (-\De + V)ϕ=-(ϕ_{n+1} + ϕ_{…