球面上Fekete点的均匀分布
Equidistribution of the Fekete points on the sphere
摘要：
Fekete点是使出现在多项式拉格朗日插值公式中的范德蒙型行列式最大化的点。它们是插值公式和数值积分的理想点。证明了球面上Fekete点的渐近等分布。我们进行的方式是通过显示它们与其他点阵列，Marcinkiewicz-Zygmund阵列和插值阵列，最近已经研究的连接。
英文摘要：
The Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation formula. They are well suited points for interpolation formulas and numerical integration. We prove the asymptotic equidistribution of the Fekete points in the sphere. The way we proceed is by showing their connection with other array of points, the Marcinkiewicz-Zygmund arrays and the interpolating arrays, that have been studied recently.
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