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On the Hahn's property for matrix orthogonal polynomials on the unit circle

  • Edinson Fuentes
    ,
  • Luis E. Garza
  • Universidad de los Llanos
    ,
  • Universidad de Colima
Research Output:
Contribution to journal
Article
Peer-review

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Metrics

SciVal
Author count
2
SciVal
Paper percentile
22

Abstract

In this contribution, we characterize the sequences of matrix orthogonal polynomials on the unit circle (MOPUC) whose derivatives are also orthogonal, i.e. the orthogonal sequences satisfying the Hahn's property. Equivalently, we characterize classical matrix linear functionals on the unit circle.

Publication Information

Output type

Research Output:
Contribution to journal
Article
Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 118-141 (24 pages)

Journal (Volume, Issue Number)

Linear Algebra and Its Applications (Volume 675)

Publication milestones

  • Published - 15/10/2023

Publication status

Published - 15/10/2023

ISSN

0024-3795

Publication IDs

  • Scopus: 85163809624

Funding Details

The authors thank the valuable comments and suggestions of the reviewers. They greatly contributed to improve the contents and presentation of this manuscript. The work of the second author has been supported by Dirección General de Investigación e Innovación, Consejería de Educación e Investigación de la Comunidad de Madrid (Spain), and Universidad de Alcalá under grant CM/JIN/2021-014. Línea de actuación estímulo a la investigación, Proyectos de I+D para jóvenes investigadores de la Universidad de Alcalá 2021.
FundersFunding numbers
Dirección General de Investigación e Innovación, Consejería de Educación e Investigación de la Comunidad de Madrid
-
UAH
CM/JIN/2021-014