Methods and Applications of Analysis
Volume 19 (2012)
The truncated matrix Hausdorff moment problem
Pages: 21 – 42
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.
moment problem, generalized resolvent, contraction
2010 Mathematics Subject Classification