Ab. Demonvel et J. Sahbani, ON THE SPECTRAL PROPERTIES OF DISCRETE SCHRODINGER-OPERATORS, Comptes rendus de l'Academie des Sciences. Serie I, Mathematique, 326(9), 1998, pp. 1145-1150
We use the method of the conjugate operator to prove a limiting absorp
tion principle and the absence of the singular continuous spectrum for
discrete Schrodinger operators. We also obtain local decay estimates.
Our results apply to a large class of perturbating potentials V decay
ing arbitrarily slowly to zero at infinity. (C) Academie des Sciences/
Elsevier, Paris.