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Constructing interpolating Blaschke products with given preimages

Geir Arne Hjelle

math.CAarXiv:math/0603739

Abstract

We give a constructive and flexible proof of a result of P. Gorkin and R. Mortini concerning a special finite interpolation problem on the unit circle with interpolating Blaschke products. Our proof also shows that the result can be generalized to other closed curves than the unit circle.

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