Matrix moment perturbations and the inverse Szegö matrix transformation

Edinson Fuentes, Luis E. Garza*

*Autor correspondiente de este trabajo

Producción científicarevisión exhaustiva

2 Citas (Scopus)

Resumen

Given a perturbation of a matrix measure supported on the unit circle, we analyze the perturbation obtained on the corresponding matrix measure on the real line, when both measures are related through the Szegö matrix transformation. Moreover, using the connection formulas for the corresponding sequences of matrix orthogonal polynomials, we deduce several properties such as relations between the corresponding norms. We illustrate the obtained results with an example.

Idioma originalEnglish
Páginas (desde-hasta)573-593
Número de páginas21
PublicaciónRevista de la Union Matematica Argentina
Volumen60
N.º2
DOI
EstadoPublished - 2019
Publicado de forma externa

Nota bibliográfica

Publisher Copyright:
© 2019, Union Matematica Argentina.

All Science Journal Classification (ASJC) codes

  • Matemáticas General

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