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

Edinson Fuentes; Luis E. Garza

doi:10.1016/j.laa.2023.06.017

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

Edinson Fuentes, Luis E. Garza^*

^*Autor correspondiente de este trabajo

Producción científica › revisión exhaustiva

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	118-141
Número de páginas	24
Publicación	Linear Algebra and Its Applications
Volumen	675
DOI	https://doi.org/10.1016/j.laa.2023.06.017
Estado	Published - 15 oct 2023
Publicado de forma externa	Sí

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Publisher Copyright:
© 2023 Elsevier Inc.

All Science Journal Classification (ASJC) codes

Álgebra y teoría de números
Análisis numérico
Geometría y topología
Matemáticas discretas y combinatorias

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10.1016/j.laa.2023.06.017

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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.",

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JO - Linear Algebra and Its Applications

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

Resumen

Nota bibliográfica

All Science Journal Classification (ASJC) codes

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