Orthogonal Polynomials on Generalized Julia Sets
Date
2017
Authors
Alpan, G.
Goncharov, A.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Complex Analysis and Operator Theory
Print ISSN
1661-8254
Electronic ISSN
1661-8262
Publisher
Birkhauser Verlag AG
Volume
11
Issue
8
Pages
1845 - 1864
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
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. © 2017, Springer International Publishing.