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arXiv · 0812.4567

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

Vladimir Bolotnikov
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Abstract

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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Vladimir Bolotnikov. 2008-12-24. On degenerate Hamburger moment problem and extensions of positive semidefinite Hankel block matrices. https://arxiv.org/abs/0812.4567

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