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http://hdl.handle.net/10016/5914
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| Title: | Spectral transformations of measures supported on the unit circle and the Szegö transformation |
| Author(s): | Garza, Luis
Hernández, Javier
Marcellán, Francisco |
| Publisher: | Springer |
| Issued date: | Dec-2008 |
| Citation: | Numerical Algorithms, 2008, vol. 49, n. 1-4, p. 169-185 |
| URI: | http://hdl.handle.net/10016/5914 |
| ISSN: | 1017-1398 (Print)
1572-9265 (Online) |
| DOI: | 10.1007/s11075-008-9156-0 |
| Description: | 17 pages, no figures.-- MSC2000 codes: 42C05, 15A23.
MR#: MR2457097 (2009k:42046)
Zbl#: Zbl 1169.42009 |
| Abstract: | In this paper we analyze spectral transformations of measures supported on the unit circle with real moments. The connection with spectral transformations of measures supported on the interval [−1,1] using the Szegö transformation is presented. Some numerical examples are studied. |
| Sponsor: | The work of the first author (L. Garza) was supported by a grant of Universidad Autónoma de Tamaulipas. The research of the third author (F. Marcellán) has been supported by Dirección General de Investigación, Ministerio de Educación y Ciencia of Spain, grant MTM 2006-13000-C03-02. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1007/s11075-008-9156-0 |
| Keywords: | Measures on the unit circle
Orthogonal polynomials
Carathéodory functions
Spectral transformations
LU factorization |
| Rights: | © Springer |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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