Blaschke products and Nevanlinna-Pick interpolation

• Autores: Arne Stray
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 59, Nº 1, 2015, págs. 45-54
• Idioma: inglés
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• Resumen

  • 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 dinitely many cones terminating at the unit circle, it is shown that all extremal solutions are Blaschke products.