ON THE SPECTRAL PROPERTIES OF DISCRETE SCHRODINGER-OPERATORS

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.