论文标题
渐近近似Fekete阵列
Asymptotic Approximate Fekete Arrays
论文作者
论文摘要
渐近fekete阵列的概念，紧凑型套件中的点数$ k \ subset {\ bf c}^d $，像fekete阵列一样渐近地表现出渐近，尽管最近在dimensions $ d> 1 $中都进行了很好的研究。在这里，我们表明，一个人可以允许更灵活的定义，而数组中的点不必位于$ k $中。我们的结果在加权多功能理论的一般环境中起作用，在多维环境中，在多维环境中依赖于伯尔曼，boucksom和Nystrom的开创性工作。
The notion of asymptotic Fekete arrays, arrays of points in a compact set $K\subset {\bf C}^d$ which behave asymptotically like Fekete arrays, has been well-studied, albeit much more recently in dimensions $d>1$. Here we show that one can allow a more flexible definition where the points in the array need not lie in $K$. Our results, which work in the general setting of weighted pluripotential theory, rely heavily, in the multidimensional setting, on the ground-breaking work of Berman, Boucksom and Nystrom.
