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Extreme Pick-Nevanlinna Interpolants

  Published:1999-10-01
 Printed: Oct 1999
  • Stephen D. Fisher
  • Dmitry Khavinson
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Abstract

Following the investigations of B.~Abrahamse [1], F.~Forelli [11], M.~Heins [14] and others, we continue the study of the Pick-Nevanlinna interpolation problem in multiply-connected planar domains. One major focus is on the problem of characterizing the extreme points of the convex set of interpolants of a fixed data set. Several other related problems are discussed.
MSC Classifications: 30D50, 30D99 show english descriptions Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part
None of the above, but in this section
30D50 - Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part
30D99 - None of the above, but in this section
 

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