正定Hankel矩阵完备化与Hamburger矩完备化
Positive definite Hankel matrix completions and Hamburger moment completions
摘要：
本文给出了含缺失项的Hamburger矩问题的解。考虑部分正序列的完备化问题。主要结果是一个正定可完成的模式，即模式，保证部分正定序列的汉堡时刻完成的存在性的表征。并给出了几个非正定可完备的模式。
英文摘要：
In this paper we give solutions to Hamburger moment problems with missing entries. The problem of completing partial positive sequences is considered. The main result is a characterization of positive definite completable patterns, namely patterns that guarantee the existence of Hamburger moment completion of a partial positive definite sequence. Moreover, several patterns which are not positive definite completable are given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
