Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients

David Damanik; Rowan Killip; Barry Simon

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Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients

David Damanik·Rowan Killip·Barry Simon

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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.

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BibTeX RIS

David Damanik, Rowan Killip, Barry Simon. 2007-02-13. Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients. https://arxiv.org/abs/math/0702388

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