Verblunsky parameters and linear spectral transformations

Garza, Luis; Marcellán Español, Francisco José

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Verblunsky parameters and linear spectral transformations

Author(s): Garza, Luis; Marcellán Español, Francisco José

Publisher: International Press

Issued date: 2009-03

Citation: Methods and Applications of Analysis, 2009, vol. 16, n. 1, p. 69-86

ISSN: 1073-2772

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

URI: http://hdl.handle.net/10016/5902

Rights: © International Press

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. [+]