论文标题
基督佛尔的功能，用于多个正交多项式
Christoffel functions for multiple orthogonal polynomials
论文作者
论文摘要
我们研究了基督佛教 - darboux内核在对应于多个正交多项式的主要对角线上的弱渐近行为。我们表明，在某些假设下，$ \ tfrac {1} {n} k_n（x，x）\，dμ$的弱极限与II型多重正交多项式的归一化零计数的极限相同。我们还将Nevai的运营商扩展到我们的背景下。
We study weak asymptotic behaviour of the Christoffel--Darboux kernel on the main diagonal corresponding to multiple orthogonal polynomials. We show that under some hypotheses the weak limit of $\tfrac{1}{n} K_n(x,x)\, dμ$ is the same as the limit of the normalized zero counting measure of type II multiple orthogonal polynomials. We also study an extension of Nevai's operators to our context.
