Ab. De Monvel et J. Sahbani, On the spectral properties of discrete Schrodinger operators: The multi-dimensional case, REV MATH PH, 11(9), 1999, pp. 1061-1078
We use the method of the conjugate operator to prove the limiting absorptio
n principle and the absence of the singular continuous spectrum for the dis
crete Schrodinger operator. We also obtain local decay estimates. Our resul
ts apply to a large class of perturbating potentials V tending arbitrarily
slowly to zero at infinity.