Interpolating sequences and the Nevanlinna Pick problem

• Autores: Arne Stray
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 35, Nº 2, 1991, págs. 507-516
• Idioma: inglés
• Títulos paralelos:
  • Interpolación de series y el problem Nevanlinna-Pick
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• Resumen

  • The extremal solutions to the Nevanlinna Pick problem are studied. If there is more than one solution, Nevanlinna showed that all extremal solutions are inner functions. With some extra information on the interpolation data we find that the extremal solutions are Blaschke products whose zeroes form a finite union of interpolating sequences.