Multiplicative Structure of the Resolvent Matrix for the Truncated Hausdorff Matrix Moment Problem

Abstract

The multiplicative structure of the resolvent matrix of the Hausdorff Matrix Moment (HMM) problem is described in the case of an odd number of moments. We use the Fundamental Matrix Inequality approach, previously used in obtaining the Blaschke–Potapov product of the resolvent matrix for the Hamburger and Stieltjes matrix moment problem studied in [10] and [7], respectively. The case of an even number of moments for the HMM problem was considered in [12].