A Weyl-Titchmarsh type formula for a discrete Schrödinger operator with Wigner-von Neumann potential
Studia Mathematica (2010)
- Volume: 201, Issue: 2, page 167-189
- ISSN: 0039-3223
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topJan Janas, and Sergey Simonov. "A Weyl-Titchmarsh type formula for a discrete Schrödinger operator with Wigner-von Neumann potential." Studia Mathematica 201.2 (2010): 167-189. <http://eudml.org/doc/285400>.
@article{JanJanas2010,
abstract = {We consider a discrete Schrödinger operator 𝒥 with Wigner-von Neumann potential not belonging to l². We find the asymptotics of orthonormal polynomials associated to 𝒥. We prove a Weyl-Titchmarsh type formula, which relates the spectral density of 𝒥 to a coefficient in the asymptotics of the orthonormal polynomials.},
author = {Jan Janas, Sergey Simonov},
journal = {Studia Mathematica},
language = {eng},
number = {2},
pages = {167-189},
title = {A Weyl-Titchmarsh type formula for a discrete Schrödinger operator with Wigner-von Neumann potential},
url = {http://eudml.org/doc/285400},
volume = {201},
year = {2010},
}
TY - JOUR
AU - Jan Janas
AU - Sergey Simonov
TI - A Weyl-Titchmarsh type formula for a discrete Schrödinger operator with Wigner-von Neumann potential
JO - Studia Mathematica
PY - 2010
VL - 201
IS - 2
SP - 167
EP - 189
AB - We consider a discrete Schrödinger operator 𝒥 with Wigner-von Neumann potential not belonging to l². We find the asymptotics of orthonormal polynomials associated to 𝒥. We prove a Weyl-Titchmarsh type formula, which relates the spectral density of 𝒥 to a coefficient in the asymptotics of the orthonormal polynomials.
LA - eng
UR - http://eudml.org/doc/285400
ER -
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