Weyl-Titchmarsh type formula for discrete Schroedinger operator with Wigner-von Neumann potential

Published 17 Mar 2010 in math.SP | (1003.3319v1)

Abstract: We consider discrete Schroedinger operator J with Wigner-von Neumann potential not belonging to l^2. We find asymptotics of orthonormal polynomials associated to J. We prove the Weyl-Titchmarsh type formula, which relates the spectral density of J to a coefficient in asymptotics of orthonormal polynomials.

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