Computing Interpolating Sequences |
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Authors: | Valentin V. Andreev Timothy H. McNicholl |
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Affiliation: | 1. Department of Mathematics, Lamar University, Beaumont, TX, 77710, USA
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Abstract: | Naftalevič’s Theorem states that, given a Blaschke sequence, it is possible to modify the arguments of its terms so as to obtain an interpolating sequence. We prove a computable version of this theorem in that it possible, given a Blaschke sequence, to computably modify the arguments of its terms so as to obtain an interpolating sequence. Using this result, we produce a computable, interpolating Blaschke sequence that does not define a computable Blaschke product. This answers a question posed by Matheson and McNicholl in a recent paper. We use Type-Two Effectivity as our foundation. |
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