Complete Nevanlinna-Pick kernels
Functional Analysis
2016-10-07 v1
Abstract
We give a new treatment of Quiggin's and McCullough's characterization of complete Nevanlinna-Pick kernels. We show that a kernel has the matrix-valued Nevanlinna-Pick property if and only if it has the vector-valued Nevanlinna-Pick property. We give a representation of all complete Nevanlinna-Pick kernels, and show that they are all restrictions of a universal complete Nevanlinna-Pick kernel.
Cite
@article{arxiv.1610.01997,
title = {Complete Nevanlinna-Pick kernels},
author = {Jim Agler and John E. McCarthy},
journal= {arXiv preprint arXiv:1610.01997},
year = {2016}
}