Interpolating sequences and the Nevanlinna Pick problem.

Arne Stray

Publicacions Matemàtiques (1991)

  • Volume: 35, Issue: 2, page 507-516
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Stray, Arne. "Interpolating sequences and the Nevanlinna Pick problem.." Publicacions Matemàtiques 35.2 (1991): 507-516. <http://eudml.org/doc/41709>.

@article{Stray1991,
abstract = {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.},
author = {Stray, Arne},
journal = {Publicacions Matemàtiques},
keywords = {Nevanlinna-Pick problem; extremal solutions; Blaschke products},
language = {eng},
number = {2},
pages = {507-516},
title = {Interpolating sequences and the Nevanlinna Pick problem.},
url = {http://eudml.org/doc/41709},
volume = {35},
year = {1991},
}

TY - JOUR
AU - Stray, Arne
TI - Interpolating sequences and the Nevanlinna Pick problem.
JO - Publicacions Matemàtiques
PY - 1991
VL - 35
IS - 2
SP - 507
EP - 516
AB - 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.
LA - eng
KW - Nevanlinna-Pick problem; extremal solutions; Blaschke products
UR - http://eudml.org/doc/41709
ER -

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