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

被引：0

作者：

Fuentes, Edinson ^{[1
]}

Garza, Luis E. ^{[2
]}

机构：

[1] Univ Llanos, Fac Ciencias Basicas & Ingn, Villavicencio, Colombia

[2] Univ Colima, Fac Ciencias, Colima, Mexico

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2023年 / 675卷

关键词：

Matrix orthogonal polynomials; Hahn's property; Verblunsky's matrix coefficients;

D O I：

10.1016/j.laa.2023.06.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.& COPY; 2023 Elsevier Inc. All rights reserved.

引用

页码：118 / 141

页数：24

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