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Proceedings of the American Mathematical Society

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

 

 

Nontangential interpolating sequences and interpolation by normal functions


Author: Kam-fook Tse
Journal: Proc. Amer. Math. Soc. 29 (1971), 351-354
MSC: Primary 30.70
MathSciNet review: 0274777
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Abstract: The first part of the paper shows that a sequence of points in the unit disk of the complex plane, tending nontangentially to a point on the unit circle, is an interpolating sequence if and only if the pseudo-hyperbolic distance between any pair of points in the sequence is bounded away from zero. The second part shows that interpolating sequences for bounded analytic functions are also interpolating sequences for normal functions.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0274777-4
Keywords: Pseudo-hyperbolic distance, interpolating sequence, Blaschke product, Blaschke sequence, normal function
Article copyright: © Copyright 1971 American Mathematical Society