论文标题
$ \ mathbb {r} $上的现代方法解决时刻问题
A modern approach to the moment problem on $\mathbb{R}$
论文作者
论文摘要
力矩问题是功能分析和概率度量中的重要问题。它可以追溯到1890年左右的Stieltjes。对最近的文献仍然存在着重要的兴趣。但是，如今，主要的理论资源（Shohat和Tamarkin，1934年）没有应有的现代曝光，尤其是在当前衡量整合理论的发展中。此外，多元版本的利用要少得多。在本文中，使用量度理论和功能分析的最新知识，介绍了这种理论的全面暴露。结果，确定了未来发展的基础，并保证了现代研究生和研究的理论可访问性。
The moment problem is an important problem in Functional Analysis and in Probability measure. It goes back to Stieltjes, around 1890. There is still an important ongoing interest in the recent literature. But, up today, the main theoretical resource (Shohat and Tamarkin, 1934) does not have the modern exposure it deserves, especially in the current development of measure theory of integration. Besides, the multivariate version is far less exploited. In this paper, a full exposure of such a theory is presented, using the latest knowledge of measure theory and functional analysis. As a result, the basis of future development is layed out and the accessibility of the theory by modern graduate students andresearches is guaranteed.
