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1. CJM 1999 (vol 51 pp. 977)

Fisher, Stephen D.; Khavinson, Dmitry
Extreme Pick-Nevanlinna Interpolants
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.

Categories:30D50, 30D99

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