Extreme Pick-Nevanlinna Interpolants

Fisher, Stephen D. ; Khavinson, Dmitry

Canadian journal of mathematics, Tome 51 (1999) no. 5, pp. 977-995

Résumé

Following the investigations of $\text{B}$ . 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.

Détail

DOI : 10.4153/CJM-1999-043-5

Mots-clés : 30D50, 30D99

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