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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Blaschke products and expanding maps of the circle
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by David Tischler PDF
Proc. Amer. Math. Soc. 128 (2000), 621-622 Request permission

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
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Additional 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