Computable analysis and Blaschke products

被引：4
|
作者：
Matheson, Alec [1 ]
Mcnicholl, Timothy H. [1 ]
机构：
[1] Lamar Univ, Dept Math, Beaumont, TX 77710 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 01期
关键词：
D O I：
10.1090/S0002-9939-07-09102-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that if a Blaschke product defines a computable function, then it has a computable sequence of zeros in which the number of times each zero is repeated is its multiplicity. We then show that the converse is not true. We finally show that every computable, radial, interpolating sequence yields a computable Blaschke product.
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页码：321 / 332
页数：12
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