Weyl-Titchmarsh type formula for discrete Schroedinger operator with Wigner-von Neumann potential
Spectral Theory
2010-03-18 v1
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.
Keywords
Cite
@article{arxiv.1003.3319,
title = {Weyl-Titchmarsh type formula for discrete Schroedinger operator with Wigner-von Neumann potential},
author = {Jan Janas and Sergey Simonov},
journal= {arXiv preprint arXiv:1003.3319},
year = {2010}
}