Orthogonal Polynomials on Generalized Julia Sets

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Orthogonal Polynomials on Generalized Julia Sets.pdf (402.8 KB)

Date

2017

Authors

Alpan, G.
Goncharov, A.

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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.

Source Title

Complex Analysis and Operator Theory

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Birkhauser Verlag AG

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Keywords

Jacobi matrices, Julia sets, Orthogonal polynomials, Parreau-Widom sets, 37F10, 42C05, 30C85

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http://hdl.handle.net/11693/37449

Published Version (Please cite this version)

http://dx.doi.org/10.1007/s11785-017-0669-1

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Scholarly Publications - Mathematics

Language

English

Type

Article