论文标题
正维代数品种上的截短力矩问题
Truncated moment problems on positive-dimensional algebraic varieties
论文作者
论文摘要
该手稿将Prony方法的主要方面从有限支撑的度量转移到了在任何维度的代数品种上支持的签名或非阴性措施的类别。特别是，我们表明，这些度量的支持的Zariski封闭是由有限的许多矩决定的，并且可以从某些时刻矩阵的内核中计算。
This manuscript transfers the main aspects of Prony's method from finitely-supported measures to the classes of signed or non-negative measures supported on algebraic varieties of any dimension. In particular, we show that the Zariski closure of the support of these measures is determined by finitely many moments and can be computed from the kernel of certain moment matrices.
