Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation I
Spectral Theory
2021-08-09 v2 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
For Jacobi parameters belonging to one of the three classes: asymptotically periodic, periodically modulated and the blend of these two, we study the asymptotic behavior of the Christoffel functions and the scaling limits of the Christoffel-Darboux kernel. We assume regularity of Jacobi parameters in terms of the Stolz class. We emphasize that the first class only gives rise to measures with compact supports.
Keywords
Cite
@article{arxiv.1909.09107,
title = {Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation I},
author = {Grzegorz Świderski and Bartosz Trojan},
journal= {arXiv preprint arXiv:1909.09107},
year = {2021}
}
Comments
47 pages