Asymptotic Behaviour of Christoffel–Darboux Kernel Via Three-Term Recurrence Relation I

被引：0
作者：
Grzegorz Świderski
Bartosz Trojan
机构：
[1] KU Leuven,Department of Mathematics
[2] University of Wrocław,Mathematical Institute
[3] Polish Academy of Sciences,Institute of Mathematics
来源：
Constructive Approximation | 2021年 / 54卷
关键词：
Orthogonal polynomials; Asymptotics; Christoffel functions; Scaling limits; Primary: 42C05; 47B36;
D O I：
暂无
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学科分类号：
摘要：
For Jacobi parameters belonging to one of three classes: asymptotically periodic, periodically modulated, and the blend of these two, we study the asymptotic behavior of the Christoffel functions and the scaling limits of the Christoffel–Darboux kernel. We assume regularity of Jacobi parameters in terms of the Stolz class. We emphasize that the first class only gives rise to measures with compact supports.
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页码：49 / 116
页数：67
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