论文标题

部分可观测时空混沌系统的无模型预测

On Polynomial Interpolation on Arbitrary Varieties

论文作者

McKinley, Tom, Shekhtman, Boris, Tuesink, Brian

论文摘要

据我们所知,本文是首次尝试引入和研究关于任意品种的多项式数据的多项式插值。在本文的第一部分中,我们提出了有关此类问题的可溶性的结果。在本文的第二部分中,我们将插值问题与某些边界值问题的多项式解决方案联系起来。特别是,我们扩展了W. K. Hayman和Z. G. Shanidze的结果。

To the best of our knowledge this paper is the first attempt to introduce and study polynomial interpolation of the polynomial data given on arbitrary varieties. In the first part of the paper we present results on the solvability of such problems. In the second part of the paper we relate the interpolation problem to polynomial solution of some boundary values problems. In particular, we extend a result of W. K. Hayman and Z. G. Shanidze.

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