no. 4
Mathematical Analysis
Orthogonal polynomials and a generalized Szegő condition
[Polynômes orthogonaux et la condition de Szegő généralisée.]

Présenté par : Pierre-Louis Lions

Denisov, Sergey1 ; Kupin, Stanislas2
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
Comptes Rendus. Mathématique, Tome 339 (2004) no. 4, pp. 241-244.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2004.06.004
Denisov, Sergey 1 ; Kupin, Stanislas 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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Denisov, Sergey; Kupin, Stanislas. Orthogonal polynomials and a generalized Szegő condition. Comptes Rendus. Mathématique, Tome 339 (2004) no. 4, pp. 241-244. doi : 10.1016/j.crma.2004.06.004. http://www.numdam.org/articles/10.1016/j.crma.2004.06.004/

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