10-47 Jan Janas, Sergey Simonov

Weyl-Titchmarsh type formula for discrete Schroedinger operator with Wigner-von Neumann potential (336K, pdf) Mar 12, 10

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

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.

Files: 10-47.src( 10-47.keywords , Janas-Simonov - 2010-02-28.pdf.mm )