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Blaschke products and Nevanlinna-Pick interpolation

Arne Stray

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For a Nevanlinna-Pick problem with more than one solution, Rolf Nevanlinna proved that all extremal solutions are inner functions. If the interpolation points are contained in finitely many cones terminating at the unit circle, it is shown that all extremal solutions are Blaschke products.

Article information

Publ. Mat., Volume 59, Number 1 (2015), 45-54.

First available in Project Euclid: 21 January 2015

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 30E05: Moment problems, interpolation problems
Secondary: 30J10: Blaschke products

Blaschke products minimal interpolation logarithmic capacity


Stray, Arne. Blaschke products and Nevanlinna-Pick interpolation. Publ. Mat. 59 (2015), no. 1, 45--54.

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