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

In [19], a geometric procedure for constructing a Nevanlinna-Pick problem on Dn 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 D2 to have a unique solution. We use the results of [19] and Bezoutʼs theorem to establish three special cases of this conjecture.