The Nevanlinna-type formula for the matrix Hamburger moment problem in a general case
Functional Analysis
2012-01-27 v1
Abstract
In this paper we obtain a Nevanlinna-type formula for the matrix Hamburger moment problem in a general case. We only assume that the problem is solvable and has more that one solution. We express the matrix coefficients of the corresponding linear fractional transformation in terms of the prescribed moments. Necessary and sufficient conditions for the determinacy of the moment problem are given.
Keywords
Cite
@article{arxiv.1201.5500,
title = {The Nevanlinna-type formula for the matrix Hamburger moment problem in a general case},
author = {Sergey M. Zagorodnyuk},
journal= {arXiv preprint arXiv:1201.5500},
year = {2012}
}
Comments
18 pages