On boundary interpolation for matrix valued Schur functions

Abstract

Introduction Preliminaries Fundamental matrix inequalities On $\mathcal{H}(\Theta)$ spaces Parametrizations of all solutions The equality case Nontangential limits The Nevanlinna-Pick boundary problem A multiple analogue of the Caratheodory-Julia theorem On the solvability of a Stein equation Positive definite solutions of the Stein equation A Caratheodory-Fejer boundary problem The full matrix Caratheodory-Fejer boundary problem The lossless inverse scattering problem Bibliography.