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

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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.
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

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Classical Analysis and ODEs, Complex Variables, 30E05

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http://salesiana.dossiersoluciones.com/handle/123456789/213501

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.4567
 http://arxiv.org/abs/0812.4567

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arXiv