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2015 Blaschke products and Nevanlinna-Pick interpolation
Arne Stray
Publ. Mat. 59(1): 45-54 (2015).


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.


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Arne Stray. "Blaschke products and Nevanlinna-Pick interpolation." Publ. Mat. 59 (1) 45 - 54, 2015.


Published: 2015
First available in Project Euclid: 21 January 2015

zbMATH: 1337.30049
MathSciNet: MR3302575

Primary: 30E05
Secondary: 30J10

Keywords: Blaschke products , logarithmic capacity , minimal interpolation

Rights: Copyright © 2015 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.59 • No. 1 • 2015
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