Nevanlinna-Pick interpolation problem in the ball
{\L}ukasz Kosi\'nski, W{\l}odzimierz Zwonek
TL;DR
This paper addresses a specific interpolation problem in the Euclidean ball, providing a solution and characterizing a class of rational functions that achieve the interpolation.
Contribution
It solves a three-point Nevanlinna-Pick problem in the Euclidean ball and identifies the class of rational functions that interpolate the data.
Findings
Explicit solution to the three-point Nevanlinna-Pick problem.
Characterization of rational functions that interpolate the problem.
Advancement in multivariable interpolation theory.
Abstract
We solve a three point Nevanlinna-Pick problem in the Euclidean ball. In particular, we determine a class of rational functions that interpolate this problem.
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