Zero distributions via orthogonality

被引：10

作者：

Baratchart, L

Küstner, R

Totik, V

机构：

[1] INRIA, F-06902 Sophia Antipolis, France

[2] Univ Aix Marseille 1, CMI, LATP, F-13453 Marseille, France

[3] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

[4] Univ S Florida, Dept Math, Tampa, FL 33620 USA

来源：

ANNALES DE L INSTITUT FOURIER | 2005年 / 55卷 / 05期

关键词：

orthogonal polynomials; zero distribution; logarithmic potential; rational approximation;

D O I：

10.5802/aif.2130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a new method to prove asymptotic zero distribution for different kinds of orthogonal polynomials. The method directly uses the orthogonality relations. We illustrate the procedure in four cases: classical orthogonality, non-Hermitian orthogonality, orthogonality in rational approximation of Markov functions and its non-Hermitian variant.

引用

页码：1455 / +

页数：46

共 21 条

[1] BET RATIONAL APPROXIMATION TO MARKOV FUNCTIONS [J].