2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213501In 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--276Classical Analysis and ODEsComplex Variables30E05text