- 07-35 David Damanik, Rowan Killip, Barry Simon
- Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients
Feb 13, 07
(auto. generated ps),
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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.