ABSOLUTELY CONTINUOUS MEASURES FOR SYSTEMS OF ORTHOGONAL POLYNOMIALS WITH UNBOUNDED RECURRENCE COEFFICIENTS

被引：12

作者：

DOMBROWSKI, J ^{[1
]}

机构：

[1] WRIGHT STATE UNIV, DEPT MATH & STAT, DAYTON, OH 45435 USA

来源：

CONSTRUCTIVE APPROXIMATION | 1992年 / 8卷 / 02期

关键词：

ORTHOGONAL POLYNOMIALS; ABSOLUTELY CONTINUOUS MEASURES;

D O I：

10.1007/BF01238266

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers systems of orthogonal polynomials which satisfy a three-term recurrence relation in which the recursion coefficients are unbounded. Conditions are imposed on the coefficient sequences to establish that the corresponding measure of orthogonality is absolutely continuous.

引用

页码：161 / 167

页数：7

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[No title captured]

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