ABSTRACT

We study polynomial interpolation of Hermite type of holomorphic functions based on Radon projections. We give two kinds of interpolation schemes and show that the interpolation polynomials are continuous with respect to the angles and the distances. When the chords are suitably distributed, we prove that the interpolation polynomials converge geometrically on the closed unit disk to the functions.

中文翻译：

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基于 Radon 投影的全纯函数多项式插值

摘要

我们研究了基于氡投影的 Hermite 型全纯函数的多项式插值。我们给出了两种插值方案，并表明插值多项式在角度和距离上是连续的。当和弦适当分布时，我们证明插值多项式在闭合单位圆盘上几何收敛到函数。