A Constrained Nevanlinna-Pick Interpolation Problem
Operator Algebras
2007-11-14 v1
Abstract
We obtain necessary and sufficient conditions for Nevanlinna-Pick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy Alternatively, these results can be interpreted as interpolation results for where is the intersection of the bidisk with an algebraic variety. We use an analysis of C*-envelopes to show that these same conditions do not suffice for matrix interpolation.
Keywords
Cite
@article{arxiv.0711.2032,
title = {A Constrained Nevanlinna-Pick Interpolation Problem},
author = {Kenneth R. Davidson and Vern I. Paulsen and Mrinal Raghupathi and Dinesh Singh},
journal= {arXiv preprint arXiv:0711.2032},
year = {2007}
}