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

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

2010-03-17

arxiv.org/abs/1003.3319v1

Mathematics

Spectral Theory

Scientific paper

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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