Periodic perturbations of unbounded Jacobi matrices II: Formulas for density
Classical Analysis and ODEs
2017-02-07 v4 Spectral Theory
Abstract
We give formulas for the density of the measure of orthogonality for orthonormal polynomials with unbounded recurrence coefficients. The formulas involve limits of appropriately scaled Tur\'an determinants or Christoffel functions. Exact asymptotics of the polynomials and numerical examples are also provided.
Keywords
Cite
@article{arxiv.1602.06728,
title = {Periodic perturbations of unbounded Jacobi matrices II: Formulas for density},
author = {Grzegorz Świderski},
journal= {arXiv preprint arXiv:1602.06728},
year = {2017}
}
Comments
21 pages, 2 figures, 2 tables