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 Google™ Scholar. Others By: López Lagomasino, Guillermo - Martínez-Finkelshtein, Andrei - Pérez Izquierdo, Ignacio - Pijeira, Héctor
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 Title: Strong asymptotics for Sobolev orthogonal polynomials in the complex plane Author(s): López Lagomasino, GuillermoMartínez-Finkelshtein, AndreiPérez Izquierdo, IgnacioPijeira, Héctor Publisher: Elsevier Issued date: Apr-2008 Citation: Journal of Mathematical Analysis and Applications, 2008, vol. 340, n. 1, p. 521-535 URI: http://hdl.handle.net/10016/6277 ISSN: 0022-247X DOI: 10.1016/j.jmaa.2007.07.074 Description: 15 pages, no figures.-- MSC2000 codes: 42C05, 33C25.MR#: MR2376173Zbl#: Zbl 1154.33303 Abstract: We obtain the strong asymptotics for the sequence of monic polynomials minimizing the norm $$\Vert q_S\Vert=(\sum_{k=0} \Vert q (k)}\Vert_k ) 1/2}$$ where $\Vert \bullet\Vert_k$, $k=0,\dots, N-1$, are $L$ norms with respect to measures supported on the same rectifiable Jordan closed curve on $\Gamma$, and $\Vert \bullet\Vert_N$ is the $L$ norm corresponding to a weight supported or arc $\Gamma$, which satisfies the Szegö condition, plus mass points in the unbounded connected component of $\bbfC\setminus \Gamma$. Sponsor: First author's research partially supported by Ministerio de Ciencia y Tecnología, grant MTM2006-13000-C03-02 and by Comunidad de Madrid-Universidad Carlos III de Madrid, grant CCG06-UC3M/EST-0690. Second author's research partially supported by Ministerio de Ciencia y Tenología, project code MTM2005-09648-C02-01 and by Junta de Andalucía, FQM-229, FQM-481 and P06-FQM-01738. Fourth author's research partially supported by a research grant from Centro de Investigación Matemática de Canarias (CIMAC), Spain. Review: PeerReviewed Publisher version: http://dx.doi.org/10.1016/j.jmaa.2007.07.074 Keywords: Sobolev orthogonal polynomialsAsymptotic behaviorSzegö's condition Rights: © Elsevier Appears in Collections: DM - GAMA - Artículos de Revistas