Linear spectral transformations and Laurent polynomials

Garza, Luis; Marcellán Español, Francisco José

e-Archivo Home
→
Investigación
→
Departamentos
→
Departamento de Matemáticas
→
Grupo de Análisis Matemático Aplicado (GAMA)
→
DM - GAMA - Artículos de Revistas
→
View Item

Linear spectral transformations and Laurent polynomials

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

Publisher: Birkhäuser Basel

Issued date: 2009-09-17

Citation: Mediterranean Journal of Mathematics, 2009, vol. 6, n. 3, p. 273-289

ISSN: 1660-5446 (Print)
1660-5454 (Online)

DOI: 10.1007/s00009-009-0008-5

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

URI: http://hdl.handle.net/10016/5893

Rights: © Springer

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 funct [+]