The truncated matrix Hausdorff moment problem
Sergey M. Zagorodnyuk · Methods and Applications of Analysis · 2012
In this paper we obtain a description of all solutions of the truncated matrix Hausdorff moment problem in a general case (no conditions besides solvability are assumed).We use the basic results of Krein and Ovcharenko about generalized sc-resolvents of Hermitian contractions.Necessary and sufficient conditions for the determinateness of the moment problem are obtained, as well.Several numerical examples are provided.