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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Strong Fatou-$1$-points of Blaschke products
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by C. L. Belna, F. W. Carroll and G. Piranian PDF
Trans. Amer. Math. Soc. 280 (1983), 695-702 Request permission

Abstract:

This paper shows that to every countable set $M$ on the unit circle there corresponds a Blaschke product whose set of strong Fatou-$1$-points contains $M$. It also shows that some Blaschke products have an uncountable set of strong Fatou-$1$-points.
References
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 280 (1983), 695-702
  • MSC: Primary 30D40; Secondary 30D50
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0716845-9
  • MathSciNet review: 716845