07-35 David Damanik, Rowan Killip, Barry Simon

Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients (193K, LaTeX) Feb 13, 07

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 07-35.src( 07-35.keywords , Damanik-Killip-Simon.tex )