Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients
Damanik, David · Killip, Rowan · Simon, Barry
Original · EN
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.
English translation
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