Computational Methods and Function Theory 7 (2007), No. 1, 43--54
Copyright Heldermann Verlag 2007
Geir Arne Hjelle
hjelle@math.ntnu.no, hjelle@math.wustl.edu , Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491 Trondheim, Norway.
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 closed curves other than the unit circle.
Keywords: Finite interpolation problem, finite Blaschke product, harmonic measure, monotonicity.
MSC 2000: Primary 30D50; Secondary 30E05.
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