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Extreme Pick-Nevanlinna Interpolants |
Canad. J. Math. 51(1999), 977-995
Published:1999-10-01
Printed: Oct 1999
Printed: Oct 1999
- Stephen D. Fisher
- Dmitry Khavinson
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 - Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part 30D99 - None of the above, but in this section |