Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients II. Weak asymptotics

被引：7

作者：

Peherstorfer, F ^{[1
]}

Steinbauer, R

机构：

[1] Johannes Kepler Univ Linz, Inst Anal & Numer, A-4040 Linz, Austria

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

JOURNAL OF APPROXIMATION THEORY | 2000年 / 105卷 / 01期

关键词：

orthogonal polynomials; unit circle; arcs; weak asymptotics; asymptotically periodic reflection coefficients; reproducing kernel function;

D O I：

10.1006/jath.2000.3450

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study orthogonal polynomials with asymptotically periodic reflection coefficients. It's known that the support of the orthogonality measure of such polynomials consists of several arcs. We are mainly interested in the asymptotic behaviour on the support and derive weak convergence results: fur the orthogonal polynomials and also for the Christoffel function. (C) 2000 Academic Press.

引用

页码：102 / 128

页数：27

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