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Linear spectral transformations and Laurent polynomials

  • Luis Garza
    ,
  • Francisco Marcellán(corresponding author)
*Corresponding author for this work
  • Universidad Carlos III de Madrid
    ,
  • Universidad Autónoma de Tamaulipas
Research Output:
Contribution to journal
Article
Peer-review

Open access

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Citations
7
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0.78
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2
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65
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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 functional. Some illustrative examples are pointed out.

Publication Information

Output type

Research Output:
Contribution to journal
Article
Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 273-289 (17 pages)

Journal (Volume, Issue Number)

Mediterranean Journal of Mathematics (Volume 6, Issue 3)

Publication milestones

  • Published - 10/2009

Publication status

Published - 10/2009

ISSN

1660-5446

Publication IDs

  • Scopus: 70449089881

Funding Details

We thank the anonymous referee for the valuable comments and suggestions which have improved the presentation of the manuscript. 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.
FundersFunding numbers
Comunidad de Madrid-Universidad Carlos III de Madrid
-
Ministerio de Educación y Ciencia of Spain
CCG07-UC3M/ESP-3339, MTM06-13000-C03-02
Universidad Autónoma de Tamaulipas
-