English

Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc II

Complex Variables 2013-02-22 v1 Functional Analysis

Abstract

In \cite{ds_hfs}, a geometric procedure for constructing a Nevanlinna-Pick problem on \Dn\D^n with a specified set of uniqueness was established. In this sequel we conjecture a necessary and a sufficient condition for a Nevanlinna-Pick problem on \DT\DT to have a unique solution. We use the results of \cite{ds_hfs} and Bezout's theorem to establish three special cases of this conjecture.

Cite

@article{arxiv.1302.5406,
  title  = {Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc II},
  author = {David Scheinker},
  journal= {arXiv preprint arXiv:1302.5406},
  year   = {2013}
}

Comments

Sequel to Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc

R2 v1 2026-06-21T23:30:25.526Z