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Title of Journal: Comput Methods Funct Theory

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Abbravation: Computational Methods and Function Theory

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Springer Berlin Heidelberg

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DOI

10.1016/0002-9394(72)90737-4

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2195-3724

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On Quasiregular Linearizers

Authors: Alastair Fletcher Douglas Macclure
Publish Date: 2015/01/08
Volume: 15, Issue: 2, Pages: 263-276
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Abstract

Linearization is a wellknown concept in complex dynamics If p is a polynomial and z 0 is a repelling fixed point then there is an entire function L which conjugates p to the linear map zmapsto pprime z 0z This notion of linearization carries over into the quasiregular setting in the context of repelling fixed points of uniformly quasiregular mappings In this article we investigate how linearizers arising from the same uqr mapping and the same repelling fixed point are related In particular any linearizer arising from a uqr solution to a Schröder equation is shown to be automorphic with respect to some quasiconformal group

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Other Papers In This Journal:
  1. A New Formula for the Natural Logarithm of a Natural Number
  2. Szegő–Taikov Inequality for Conjugate Polynomials
  3. Badly Approximable Unimodular Functions in Weighted L p Spaces
  4. The Growth of Complex Solutions of Algebraic Differential Equations of First Order
  5. Monogenic Modular Forms in Two and Several Real and Complex Vector Variables
  6. On Riemann-Hilbert Problems in Circle Packing
  7. Extending the Schwarz-Christoffel Formula to Universal Covering Maps of a Riemann Surface
  8. On a Problem of A. Eremenko
  9. Explicit Real-Part Estimates for High Order Derivatives of Analytic Functions
  10. Minimal Harmonic Measure on Complementary Regions
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