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

17 pages, no figures.-- MSC2000 codes: 42C05, 15A23.MR#: MR2457097 (2009k:42046)Zbl#: Zbl 1169.42009In 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 examples are studied.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.Publicad