%0 Journal Article
%T On degenerate Hamburger moment problem and extensions of positive semidefinite Hankel block matrices
%A Vladimir Bolotnikov
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0812.4567v1