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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5893
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| Title: | Linear spectral transformations and Laurent polynomials |
| Author(s): | Garza, Luis
Marcellán, Francisco |
| Publisher: | Birkhäuser Basel |
| Issued date: | 17-Sep-2009 |
| Citation: | Mediterranean Journal of Mathematics, 2009, vol. 6, n. 3, p. 273-289 |
| URI: | http://hdl.handle.net/10016/5893 |
| ISSN: | 1660-5446 (Print)
1660-5454 (Online) |
| DOI: | 10.1007/s00009-009-0008-5 |
| Description: | 17 pages, 2 figures.-- MSC2000 codes: Primary 42C05; Secondary 15A23. |
| Abstract: | In this manuscript we analyze some linear spectral transformations of a Hermitian linear functional using the multiplication by some class of Laurent polynomials. We focus our attention in the behavior of the Verblunsky parameters of the perturbed linear functional. Some illustrative examples are pointed out. |
| 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://dx.doi.org/10.1007/s00009-009-0008-5 |
| Keywords: | Quasi-definite linear functionals
Laurent polynomials
Linear spectral transformations
Hessenberg matrices
Verblunsky parameters |
| Rights: | © Springer |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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