CHRISTOFFEL FUNCTIONS AND UNIVERSALITY LIMITS FOR ORTHOGONAL RATIONAL FUNCTIONS

被引：1

作者：

Deckers, Karl ^{[1
]}

Lubinsky, Doron S. ^{[2
]}

机构：

[1] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Louvain, Belgium

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

ANALYSIS AND APPLICATIONS | 2012年 / 10卷 / 03期

基金：

美国国家科学基金会;

关键词：

Orthogonal rational functions; universality limits; Christoffel functions; CHEBYSHEV QUADRATURE-FORMULAS; COMPLEX POLES; UNIT-CIRCLE; ASYMPTOTICS; BULK;

D O I：

10.1142/S0219530512500133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish limits for Christoffel functions associated with orthogonal rational functions, whose poles remain a fixed distance away from the interval of orthogonality[-1, 1], and admit a suitable asymptotic distribution. The measure of orthogonality mu is assumed to be regular on [-1, 1], and to satisfy a local condition such as continuity of mu'. As a consequence, we deduce universality limits in the bulk for reproducing kernels associated with orthogonal rational functions.

引用

页码：271 / 294

页数：24

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