Stoïlow factorization for quasiregular mappings in all dimensions
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- by Gaven Martin and Kirsi Peltonen PDF
- Proc. Amer. Math. Soc. 138 (2010), 147-151 Request permission
Abstract:
We generalize to higher dimensions the classical Stoïlow factorisation theorem; we show that any quasiregular mapping $f$ of the Riemann $n$-sphere $\hat {\mathbb {R}}^n \approx \mathbb {S}^n$ can be written in the form $f=\varphi \circ h$, where $h:\mathbb {S}^n \to \mathbb {S}^n$ is quasiconformal and $\varphi$ is a uniformly quasiregular mapping, hence rational with respect to some bounded measurable conformal structure.References
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Additional Information
- Gaven Martin
- Affiliation: Department of Mathematics, Massey University, Auckland, New Zealand
- MR Author ID: 120465
- Email: G.J.Martin@massey.ac.nz
- Kirsi Peltonen
- Affiliation: Helsinki University of Technology, P.O. Box 1100, FIN-02015 Espoo, Finland
- Email: kirsi.peltonen@tkk.fi
- Received by editor(s): September 14, 2008
- Published electronically: August 12, 2009
- Communicated by: Mario Bonk
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 147-151
- MSC (2000): Primary 30D05; Secondary 37F30
- DOI: https://doi.org/10.1090/S0002-9939-09-10056-4
- MathSciNet review: 2550179