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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5902
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| Title: | Verblunsky parameters and linear spectral transformations |
| Author(s): | Garza, Luis
Marcellán, Francisco |
| Publisher: | International Press |
| Issued date: | Mar-2009 |
| Citation: | Methods and Applications of Analysis, 2009, vol. 16, n. 1, p. 69-86 |
| URI: | http://hdl.handle.net/10016/5902 |
| ISSN: | 1073-2772 |
| Description: | 18 pages, no figures.-- MSC2000 codes: 42C05. |
| Abstract: | In this paper we analyze the behavior of Verblunsky parameters for hermitian linear functionals deduced from canonical linear spectral transformations of a quasi-definite hermitian linear functional. Some illustrative examples are studied. |
| Sponsor: | The work of the first author has been supported by a grant of Universidad Autónoma de Tamaulipas. The work of the second author has been supported by Dirección General de Investigación, Ministerio de Educación y Ciencia of Spain, grant MTM06-13000-C03-02. Both authors have been supported by project CCG07-UC3M/ESP-3339 with the financial support of Comunidad de Madrid-Universidad Carlos III de Madrid. |
| Review: | PeerReviewed |
| Publisher version: | http://www.intlpress.com/MAA/p/2009/16-1/MAA-16-1-A5-garza.pdf |
| Keywords: | Quasi-definite hermitian linear functionals
Orthogonal polynomials
Christoffel transformation
Uvarov transformation
Geronimus transformation
Verblunsky parameters |
| Rights: | © International Press |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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