Strong asymptotics for Sobolev orthogonal polynomials in the complex plane

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:340

Article

Lagomasino, G. Lopez¹  Martinez-Finkelshtein, A.²  Izquierdo, I. Perez³  Cabrera, H. Pijeira¹ 

[1] Univ Carlos III Madrid, E-28903 Getafe, Spain

[2] Univ Almeria, Almeria, Spain

[3] Univ La Habana, Havana, Cuba

关键词: sobolev orthogonal polynomials;    asymptotic behavior;    szegos condition;   

DOI  :  10.1016/j.jmaa.2007.07.074

来源: Elsevier

【 摘 要 】

We obtain the strong asymptotics for the sequence of monic polynomials minimizing the norm parallel to q parallel to(S) = (Sigma(N)(k=0)parallel to q((k))parallel to(2)(k))(1/2), where parallel to (.) parallel to(k), k = 0,..., N - 1, are L-2 norms with respect to measures supported on the same rectifiable Jordan closed curve or arc Gamma, and parallel to (.) parallel to(N) is the L2 norm corresponding to a weight supported on Gamma, which satisfies the Szego condition, plus mass points in the unbounded connected component of C \ Gamma. (c) 2007 Published by Elsevier Inc.

【 授权许可】

Free