Boundary Nevanlinna-Pick interpolation via reduction and augmentation
Complex Variables
2010-11-09 v3
Abstract
We give an elementary proof of Sarason's solvability criterion for the Nevanlinna-Pick problem with boundary interpolation nodes and boundary target values. We also give a concrete parametrization of all solutions of such a problem. The proofs are based on a reduction method due to Julia and Nevanlinna. Reduction of functions corresponds to Schur complementation of the corresponding Pick matrices.
Keywords
Cite
@article{arxiv.0905.4759,
title = {Boundary Nevanlinna-Pick interpolation via reduction and augmentation},
author = {Jim Agler and N. J. Young},
journal= {arXiv preprint arXiv:0905.4759},
year = {2010}
}
Comments
We have repaired an inaccuracy in the proof of Proposition 6.7, (1) implies (5)