The Nevanlinna-type formula for the matrix Hamburger moment problem in a general case

Details The Nevanlinna-type formula for the matrix Hamburger moment problem in a general case The Nevanlinna-type formula for the matrix Hamburger moment problem in a general case

2012-01-26

arxiv.org/abs/1201.5500v1

Mathematics

Functional Analysis

18 pages

Scientific paper

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.

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