SZEGO RECURRENCE FOR MULTIPLE ORTHOGONAL POLYNOMIALS ON THE UNIT CIRCLE

被引：0

作者：

Kozhan, Rostyslav ^{[1
]}

Vaktn, Marcus ^{[1
]}

机构：

[1] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 07期

关键词：

MIXED-TYPE; ASYMPTOTICS; RATIO;

D O I：

10.1090/proc/16811

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate polynomials that satisfy simultaneous orthogonality conditions with respect to several measures on the unit circle. We generalize the direct and inverse Szegorecurrence relations, identify the analogues of the Verblunsky coefficients, and prove the Christoffel-Darboux formula. These results should be viewed as the direct analogue of the nearest neighbour recurrence relations from the theory of multiple orthogonal polynomials on the real line.

引用

页码：2983 / 2997

页数：15

共 25 条

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