IUMJ

Title: A constrained Nevanlinna-Pick interpolation problem

Authors: Kenneth R. Davidson, Vern I. Paulsen, Mrinal Raghupathi and Dinesh Singh

Issue: Volume 58 (2009), Issue 2, 709-732

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 $f'(0) = 0$. Alternatively, these results can be interpreted as interpolation results for $H^{\infty}(V)$, where $V$ 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.