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Blaschke products and expanding maps of the circle

Author(s): David Tischler
Journal: Proc. Amer. Math. Soc. 128 (2000), 621-622.
MSC (1991): Primary 58F03, 30D50
Posted: July 27, 1999
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Abstract | References | Similar articles | Additional information

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:

[1]: L. Ahlfors, Complex Analysis, McGraw-Hill, New York, 1966. MR 32:5844
[2]: N. F. G. Martin, On finite Blaschke products whose restrictions to the unit circle are exact endomorphisms, Bull. London Math. Soc. (15) 1983 (4), pp. 621-622. MR 84h:30045


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