Constructing interpolating Blaschke products with given preimages

Details Constructing interpolating Blaschke products with given preimages Constructing interpolating Blaschke products with given preimages

2006-03-31

arxiv.org/abs/math/0603739v1

Mathematics

Classical Analysis and ODEs

10 pages, 5 figures

Scientific paper

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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