Orthogonal Polynomials on Generalized Julia Sets

被引：3

作者：

Alpan, Gokalp ^{[1
]}

Goncharov, Alexander ^{[1
]}

机构：

[1] Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 08期

关键词：

Julia sets; Parreau-Widom sets; Orthogonal polynomials; Jacobi matrices; JACOBI MATRICES; ITERATION;

D O I：

10.1007/s11785-017-0669-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend results by Barnsley et al. about orthogonal polynomials on Julia sets to the case of generalized Julia sets. The equilibrium measure is considered. In addition, we discuss optimal smoothness of Green's functions and Parreau-Widom criterion for a special family of real generalized Julia sets.

引用

页码：1845 / 1864

页数：20

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