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Extreme Pick-Nevanlinna Interpolants

Published online by Cambridge University Press:  20 November 2018

Stephen D. Fisher  and
Dmitry Khavinson
Stephen D. Fisher
Affiliation:
Department of Mathematics, Northwestern University
Dmitry Khavinson
Affiliation:
Department of Mathematics, University of Arkansas
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Abstract

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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.

Keywords

30D5030D99
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 5 , 01 October 1999 , pp. 977 - 995
Copyright
Copyright © Canadian Mathematical Society 1999

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