论文标题
目前的十个讲座
Ten Lectures on the Moment Problem
论文作者
论文摘要
这是2019年3月越南数学学院数学高级研究所所提供的十篇讲座。接下来的4个讲座涉及多维全矩问题,特别强调与实际代数几何和多项式优化的相互作用。最后的三个讲座专门用于截断的多维力矩问题以及该领域的一些最新发展。
These are ten lectures on the moment problem delivered by the author at the Vietnam Institute of Advanced Studies in Mathematics, Hanoi, March 2019. The first 3 lectures are about the one-dimensional full and truncated moment problem. The next 4 lectures deal with the multidimensional full moment problem with particular emphasis on the interactions with real algebraic geometry and polynomial optimization. The final 3 lectures are devoted to the truncated multidimensional moment problem and some recent developments in this area..