Constructing interpolating Blaschke products with given preimages

Constructing interpolating Blaschke products with given preimages

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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Veröffentlicht in:arXiv.org 2006-03
1. Verfasser: Hjelle, Geir Arne
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422