Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients
Spectral Theory
2014-12-30 v2 Mathematical Physics
math.MP
Abstract
We extend the results of Denisov-Rakhmanov, Szego-Shohat-Nevai, and Killip-Simon from asymptotically constant orthogonal polynomials on the real line (OPRL) and unit circle (OPUC) to asymptotically periodic OPRL and OPUC. The key tool is a characterization of the isospectral torus that is well adapted to the study of perturbations.
Cite
@article{arxiv.math/0702388,
title = {Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients},
author = {David Damanik and Rowan Killip and Barry Simon},
journal= {arXiv preprint arXiv:math/0702388},
year = {2014}
}
Comments
64 pages, to appear in Ann. of Math