Measures for orthogonal polynomials with unbounded recurrence coefficients

被引：11

作者：

Aptekarev, A. I. ^{[1
]}

Geronimo, J. S. ^{[2
,3
]}

机构：

[1] Russian Acad Sci, Keldysh Inst Appl Math, Musskaya Pl 4, Moscow 12507, Russia

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

[3] Jilin Univ, Changchun 130023, Peoples R China

来源：

JOURNAL OF APPROXIMATION THEORY | 2016年 / 207卷

基金：

俄罗斯科学基金会;

关键词：

Orthogonal polynomials; Unbounded recurrence coefficients; Measures; ABSOLUTELY CONTINUOUS-SPECTRUM; JACOBI MATRICES; SCATTERING-THEORY; ASYMPTOTICS; POTENTIALS;

D O I：

10.1016/j.jat.2016.02.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Systems of orthogonal polynomials whose recurrence coefficients tend to infinity are considered. A summability condition is imposed on the coefficients and the consequences for the measure of orthogonality are discussed. Also discussed are asymptotics for the polynomials. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：339 / 347

页数：9

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