The uniqueness problem for the 3-Point Nevanlinna-Pick extremal interpolation problem in the unit Euclidean ball \Bnd

2025/09/11 by Piekarz, Dariusz · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.09579

Abstract

Agler and McCarthy studied the uniqueness of a 3-point interpolation problem in the bidisc. This note aims to solve an analogous problem in the unit Euclidean ball in an arbitrary dimension.

Citations

• Nevanlinna-Pick interpolation problem in the ball
• Geodesics, retracts, and the norm-preserving extension property in the\n symmetrized bidisc

Cited by

• Characterisation of geodesic-preserving functions

Related

• Nevanlinna-Pick interpolation problem in the ball
• Pick interpolation in several variables
• Three-point Nevanlinna Pick problem in the polydisc
• A Constrained Nevanlinna-Pick Interpolation Problem
• On the Nevanlinna problem - Characterization of all Schur-Agler class solutions