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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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On Blaschke products diverging everywhere on the boundary of the unit disc
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by C. N. Linden PDF
Proc. Amer. Math. Soc. 55 (1976), 62-64 Request permission

Abstract:

If the moduli of the zeros of a Blaschke product increase sufficiently slowly the arguments of the zeros may be so chosen that the product diverges everywhere on $\{ z:|z| = 1\}$.
References
  • Otto Frostman, Sur les produits de Blaschke, Kungl. Fysiografiska Sällskapets i Lund Förhandlingar [Proc. Roy. Physiog. Soc. Lund] 12 (1942), no. 15, 169–182 (French). MR 12127
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 55 (1976), 62-64
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0393494-8
  • MathSciNet review: 0393494