On degenerate Hamburger moment problem and extensions of positive semidefinite Hankel block matrices
Classical Analysis and ODEs
2008-12-25 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.0812.4567,
title = {On degenerate Hamburger moment problem and extensions of positive semidefinite Hankel block matrices},
author = {Vladimir Bolotnikov},
journal= {arXiv preprint arXiv:0812.4567},
year = {2008}
}
Comments
The corrected version of the paper "On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices", Integral Equations Operator Theory 25 (1996), no. 3, 253--276