3 papers
math.CV2013
Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc II
David Scheinker
In \cite{ds_hfs}, a geometric procedure for constructing a Nevanlinna-Pick problem on $\D^n$ with a specified set of uniqueness was established. In this sequel we conjecture a nece…
math.FA2011
Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc
David Scheinker
In the paper `Distinguished Varieties,' Agler and McCarthy used Hilbert function spaces to study the uniqueness properties of the Nevanlinna-Pick problem on the bidisc. In this wor…
math.CV2010
A uniqueness theorem for bounded analytic functions on the polydisc
David Scheinker
For each n,N>0 we construct a set of points x_1,...,x_M in D^n with the following property: if f is a rational inner function on D^n of degree strictly less than N and g is an anal…