# Perturbations of Orthogonal Polynomials with Periodic Recursion Coefficients

@inproceedings{Damanik2007PerturbationsOO, title={Perturbations of Orthogonal Polynomials with Periodic Recursion Coefficients}, author={David Damanik and Rowan Killip and Barry Simon}, year={2007} }

- Published 2007

We extend the results of Denisov–Rakhmanov, Szegő–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.

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