Publication:
Strong asymptotics for Sobolev orthogonal polynomials in the complex plane

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/6277
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.07.074
Files
strong_lagomasino_jmaa_2008_ps.pdf (209.99 KB)
Publication date
2008-04
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
^aWe obtain the strong asymptotics for the sequence of monic polynomials minimizing the norm $$\Vert q_S\Vert=(\sum_{k=0}^N \Vert q^{(k)}\Vert_k^2)^{1/2}$$ where $\Vert \bullet\Vert_k$, $k=0,\dots, N-1$, are $L^2$ norms with respect to measures supported on the same rectifiable Jordan closed curve on $\Gamma$, and $\Vert \bullet\Vert_N$ is the $L^2$ norm corresponding to a weight supported or arc $\Gamma$, which satisfies the Szegö condition, plus mass points in the unbounded connected component of $\bbfC\setminus \Gamma$.
Description
15 pages, no figures.-- MSC2000 codes: 42C05, 33C25.
MR#: MR2376173
Zbl#: Zbl 1154.33303
Keywords
Sobolev orthogonal polynomials, Asymptotic behavior, Szegö's condition
Bibliographic citation
Journal of Mathematical Analysis and Applications, 2008, vol. 340, n. 1, p. 521-535
Collections
DM - GAMA - Artículos de Revistas