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

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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 Szegő transformation is presented. Some numerical examples are studied.

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Authors and Affiliations

  1. Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911, Leganés, Madrid, Spain

    Luis Garza & Francisco Marcellán

  2. Universidad Autónoma de Tamaulipas, Ciudad Victoria, Mexico

    Luis Garza

  3. Universidad Centroccidental Lisandro Alvarado, Barquisimeto, Venezuela

    Javier Hernández

Authors
  1. Luis Garza
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  2. Javier Hernández
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  3. Francisco Marcellán
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Corresponding author

Correspondence to Francisco Marcellán.

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Garza, L., Hernández, J. & Marcellán, F. Spectral transformations of measures supported on the unit circle and the Szegő transformation. Numer Algor 49, 169–185 (2008). https://doi.org/10.1007/s11075-008-9156-0

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  • DOI: https://doi.org/10.1007/s11075-008-9156-0

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