Harmonic extensions of symmetric maps

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Abstract

We examine the behavior of the Douady–Earle extension and we prove that a symmetric self-map of the circle can be harmonically extended to a conformal self-map of the hyperbolic disc.

Mathematics Subject Classification (2000)

Primary: 58E20 Secondary: 53C21 

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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Mathematics InstituteUniversity of WarwickCoventryUK

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