Blaschke products and expanding maps of the circle
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- by David Tischler
- Proc. Amer. Math. Soc. 128 (2000), 621-622
- DOI: https://doi.org/10.1090/S0002-9939-99-05175-8
- Published electronically: July 27, 1999
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Abstract:
For an analytic map of the closed unit disk onto itself that leaves the boundary circle invariant, we give necessary and sufficient conditions for the map of the boundary to be expanding.References
- Lars V. Ahlfors, Complex analysis: An introduction of the theory of analytic functions of one complex variable, 2nd ed., McGraw-Hill Book Co., New York-Toronto-London, 1966. MR 0188405
- N. F. G. Martin, On finite Blaschke products whose restrictions to the unit circle are exact endomorphisms, Bull. London Math. Soc. 15 (1983), no. 4, 343–348. MR 703758, DOI 10.1112/blms/15.4.343
Bibliographic Information
- Received by editor(s): April 14, 1998
- Published electronically: July 27, 1999
- Communicated by: Jozef Dodziuk
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 621-622
- MSC (1991): Primary 58F03, 30D50
- DOI: https://doi.org/10.1090/S0002-9939-99-05175-8
- MathSciNet review: 1641125