关于退化Hamburger矩问题和半正定Hankel分块矩阵的扩张
On degenerate Hamburger moment problem and extensions of positive semidefinite Hankel block matrices
摘要：
本文考虑两个相关的问题：奇异半正定Hankel块矩阵和相应的退化截断矩阵Hamburger矩问题。利用线性分式变换给出了退化矩阵Hamburger矩量问题的所有解的描述。感兴趣的情况下是汉堡时刻的问题，其汉克尔块-矩阵承认一个半正定汉克尔扩展。
英文摘要：
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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