6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.SP2011★ 6 cited
Weyl-Titchmarsh type formula for periodic Schroedinger operator with Wigner-von Neumann potential
Pavel Kurasov, Sergey Simonov
Schroedinger operator on the half-line with periodic background potential perturbed by a certain potential of Wigner-von Neumann type is considered. The asymptotics of generalized…
math.SP2010
Weyl-Titchmarsh type formula for Hermite operator with small perturbation
Sergey Simonov
Small perturbations of the Jacobi matrix with weights \sqrt n and zero diagonal are considered. A formula relating the asymptotics of polynomials of the first kind to the spectral…
math.SP2010
Weyl-Titchmarsh type formula for discrete Schroedinger operator with Wigner-von Neumann potential
Jan Janas, Sergey Simonov
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 We…