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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5907
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| Title: | Szegö transformations and rational spectral transformations for associated polynomials |
| Author(s): | Garza, Luis
Marcellán, Francisco |
| Publisher: | Elsevier |
| Issued date: | Dec-2009 |
| Citation: | Journal of Computational and Applied Mathematics, 2009, vol. 233, n. 3, p. 730-738 |
| URI: | http://hdl.handle.net/10016/5907 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2009.02.041 |
| Description: | 9 pages, no figures.-- MSC2000 codes: 42C05, 15A23. |
| Abstract: | In this contribution we analyze rational spectral transformations related to associated polynomials with respect to probability measures supported on the interval [−1, 1]. The connection with rational spectral transformations of measures supported on the unit circle using the Szegő transformation is presented. |
| Sponsor: | The work of the first author (L. Garza) was supported by a grant of Universidad Autónoma de Tamaulipas. The research of the second author (F. Marcellán) was 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/10.1016/j.cam.2009.02.041 |
| Keywords: | Measures on the unit circle
Orthogonal polynomials
Associated polynomials
Carathéodory functions
Rational spectral transformations |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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