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Transactions of the American Mathematical Society

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The zero-sets of the radial-limit functions of inner functions

Authors: Charles L. Belna, Robert D. Berman, Peter Colwell and George Piranian
Journal: Trans. Amer. Math. Soc. 347 (1995), 3605-3612
MSC: Primary 30D40; Secondary 30D50
MathSciNet review: 1308000
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Abstract: A set $ E$ on the unit circle is the zero-set of the radial-limit function of some inner function if and only if $ E$ is a countable intersection of $ {F_\sigma }$-sets of measure 0.

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Keywords: Inner functions, radial-limit functions, zero sets
Article copyright: © Copyright 1995 American Mathematical Society