Nonlinear automorphisms of plane domains
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Abstract:
We prove that the number of holomorphic nonlinear polynomials mapping a plane domain one-to-one onto itself is at most countable.References
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Additional Information
- Timo Erkama
- Affiliation: University of Joensuu, SF-80101 Joensuu, Finland
- Email: Timo.Erkama@joensuu.fi
- Received by editor(s): June 23, 1999
- Received by editor(s) in revised form: September 24, 1999
- Published electronically: November 30, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Conform. Geom. Dyn. 3 (1999), 151-157
- MSC (1991): Primary 30D05; Secondary 58F23
- DOI: https://doi.org/10.1090/S1088-4173-99-00051-X
- MathSciNet review: 1725479