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Proceedings of the American Mathematical Society

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On Blaschke products diverging everywhere on the boundary of the unit disc

Author: C. N. Linden
Journal: Proc. Amer. Math. Soc. 55 (1976), 62-64
MathSciNet review: 0393494
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Abstract | References | Additional Information

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:\vert z\vert = 1\} $.

References [Enhancements On Off] (What's this?)

  • [1] O. Frostman, Sur les produits de Blaschke, Kungl. Fysiografiska Sällskapets i Lund Förhandlingar 12 (1942), no. 15, 169-182. MR 6, 262. MR 0012127 (6:262e)

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Keywords: Blaschke product, divergence
Article copyright: © Copyright 1976 American Mathematical Society

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