Publicacions Matemàtiques

Blaschke products and Nevanlinna-Pick interpolation

Arne Stray

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Abstract

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

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

Dates
First available in Project Euclid: 21 January 2015

Permanent link to this document
https://projecteuclid.org/euclid.pm/1421861992

Mathematical Reviews number (MathSciNet)
MR3302575

Zentralblatt MATH identifier
1337.30049

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

Keywords
Blaschke products minimal interpolation logarithmic capacity

Citation

Stray, Arne. Blaschke products and Nevanlinna-Pick interpolation. Publ. Mat. 59 (2015), no. 1, 45--54. https://projecteuclid.org/euclid.pm/1421861992


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