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

  • Luis Garzab, c(Author)
    ,
  • Javier Hernándeza(Author)
    ,
  • Francisco Marcellánb(Author)
  • aUniversidad Centroccidental Lisandro Alvarado
    ,
  • bUniversidad Carlos III de Madrid
    ,
  • cUniversidad Autónoma de Tamaulipas
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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 Szego transformation is presented. Some numerical examples are studied.

Publication Information

Output type

Research Output: Contribution to journal Article Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 169-185 (17 pages)

Journal (Volume, Issue Number)

Numerical Algorithms (Volume 49, Issue 1-4)

Publication milestones

  • Published - 12/2008

Publication status

Published - 12/2008

ISSN

1017-1398

External Publication IDs

  • Scopus: 55349117123

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Funding Details

Acknowledgements We thank the valuable comments and suggestions by the referee in order to improve the presentation of the manuscript. 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.
FundersFunding numbers
Universidad Autónoma de Tamaulipas
-
MESCYT
MTM 2006-13000-C03-02