On degenerate Hamburger moment problem and extensions of positive semidefinite Hankel block matrices

Details On degenerate Hamburger moment problem and extensions of positive semidefinite Hankel block matrices On degenerate Hamburger moment problem and extensions of positive semidefinite Hankel block matrices

2008-12-24

arxiv.org/abs/0812.4567v1

Mathematics

Classical Analysis and ODEs

The corrected version of the paper "On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices

Scientific paper

In this paper we consider two related objects: singular positive semidefinite Hankel block--matrices and associated degenerate truncated matrix Hamburger moment problems. The description of all solutions of a degenerate matrix Hamburger moment problem is given in terms of a linear fractional transformation. The case of interest is the Hamburger moment problem whose Hankel block--matrix admits a positive semidefinite Hankel extension.

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