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Blaschke products and expanding maps
of the circle
Author:
David Tischler
Journal:
Proc. Amer. Math. Soc. 128 (2000), 621-622
MSC (1991):
Primary 58F03, 30D50
Posted:
July 27, 1999
MathSciNet review:
1641125
Full-text PDF Free Access
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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.
- [1]
Lars
V. Ahlfors, Complex analysis: An introduction of the theory of
analytic functions of one complex variable, Second edition,
McGraw-Hill Book Co., New York, 1966. MR 0188405
(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), no. 4, 343–348. MR 703758
(84h:30045), http://dx.doi.org/10.1112/blms/15.4.343
- [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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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-99-05175-8
PII:
S 0002-9939(99)05175-8
Received by editor(s):
April 14, 1998
Posted:
July 27, 1999
Communicated by:
Jozef Dodziuk
Article copyright:
© Copyright 1999 American Mathematical Society
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