Spectral transformations of measures supported on the unit circle and the Szegö transformation

Garza, Luis; Hernández, Javier; Marcellán Español, Francisco José

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Spectral transformations of measures supported on the unit circle and the Szegö transformation

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

Publisher: Springer

Issued date: 2008-12

Citation: Numerical Algorithms, 2008, vol. 49, n. 1-4, p. 169-185

ISSN: 1017-1398 (Print)
1572-9265 (Online)

DOI: 10.1007/s11075-008-9156-0

Sponsor: The work of the first author (L. Garza) was supported by a grant of Universidad Autónoma de Tamaulipas. 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.

Review: PeerReviewed

Publisher version: http://dx.doi.org/10.1007/s11075-008-9156-0

Keywords: Measures on the unit circle , Orthogonal polynomials , Carathéodory functions , Spectral transformations , LU factorization

URI: http://hdl.handle.net/10016/5914

Rights: © Springer

Abstract:

In this paper we analyze spectral transformations of measures supported on the unit circle with real moments. The connection with spectral transformations of measures supported on the interval [−1,1] using the Szegö transformation is presented. Some numerical [+]