Constrained Hp Interpolation on Subsets of the Circle
Abstract
We study band-limited versions of classical interpolation issues in the unit disk DD of the complex plane, that generalize Nevanlinna-Pick and Carathéodory-Fejér problems in Hardy spaces Hp of DD, 1 \leq p \leq \infty. We show how they can be linked to a family of bounded extremal problems about which we provide some results.
Loading...