Comptes Rendus
Mathematical Analysis
Orthogonal polynomials and a generalized Szegő condition
Comptes Rendus. Mathématique, Volume 339 (2004) no. 4, pp. 241-244.

Asymptotical properties of orthogonal polynomials from the so-called Szegő class are very well-studied. We obtain asymptotics of orthogonal polynomials from a considerably larger class and we apply this information to the study of their spectral behavior.

Les propriétés asymptotiques des polynômes orthogonaux de la classe de Szegő sont très bien étudiées. Nous obtenons les asymptotiques des polynômes orthogonaux appartenant à une classe considérablement plus large. Ensuite, nous appliquons cette information à l'étude du comportement spectral de ces derniers.

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DOI: 10.1016/j.crma.2004.06.004
Sergey Denisov 1; Stanislas Kupin 2

1 Department of Mathematics 253-37, Caltech, Pasadena, CA 91125, USA
2 CMI, université de Provence, 39, rue Joliot Curie, 13453 Marseille cedex 13, France
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Sergey Denisov; Stanislas Kupin. Orthogonal polynomials and a generalized Szegő condition. Comptes Rendus. Mathématique, Volume 339 (2004) no. 4, pp. 241-244. doi : 10.1016/j.crma.2004.06.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.06.004/

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[2] D. Damanik; R. Killip; B. Simon Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schrödinger operators, Int. Math. Res. Notices, Volume 22 (2004), pp. 1087-1097

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