Orthogonal polynomials and measures on the unit circle. The Geronimus transformations
- L. Garza,
- J. Hernández,
- F. Marcellán(corresponding author)
- Universidad Carlos III de Madrid
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FWCI
0.91
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Author count
3
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69
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Citations
20
Abstract
In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the connection between the associated Hessenberg matrices. Finally, we show an example of this kind of transformation.
Publication Information
Output type
Research Output:
Contribution to journal
Article
Peer-reviewOriginal language
EnglishPages from-to (Number of pages)
Pages 1220-1231 (12 pages)Journal (Volume, Issue Number)
Journal of Computational and Applied Mathematics (Volume 233, Issue 5)Publication milestones
- Published - 01/01/2010
Publication status
Published - 01/01/2010
ISSN
0377-0427Publication IDs
- Scopus: 70350731224
Funding Details
The work of the first author (L. Garza) has been supported by a grant from the Universidad Autónoma de Tamaulipas. The work of the second author (J. Hernández) has been supported by a grant from the Fundación Universidad Carlos III de Madrid. 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.
FundersFunding numbers
Fundación Universidad Carlos III de Madrid
-Ministerio de Educación y Ciencia of Spain
MTM 2006-13000-C03-02
Universidad Autónoma de Tamaulipas
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