Computable analysis and Blaschke products
Alec Matheson, Timothy H. McNicholl · Proceedings of the American Mathematical Society · 2007
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.