Truncated matricial moment problems on a finite interval: the operator approach.

link: http://arxiv.org/abs/0910.3882
Abstract

In this paper we obtain a description of all solutions of truncated matricial
moment problems on a finite interval in a general case (no conditions besides
solvability are assumed). We use the basic results of M.G. Krein and I.E.
Ovcharenko about generalized sc-resolvents of Hermitian contractions.