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arXiv 1809.09205math.CA
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具有分片光滑边界的平面区域上的Christoffel函数

Christoffel function on planar domains with piecewise smooth boundary

A. Prymak, O. Usoltseva

摘要:

我们计算了平面区域上的Christoffel函数,该区域的边界由许多$C^2$曲线组成,使得边界的每个角点的内角严格在$0$和$π$之间。所得到的公式使用从感兴趣点到定义域边界的曲线或曲线的某些部分的距离。

英文摘要:

We compute up to a constant factor the Christoffel function on planar domains with boundary consisting of finitely many $C^2$ curves such that each corner point of the boundary has interior angle strictly between $0$ and $π$. The resulting formula uses the distances from the point of interest to the curves or certain parts of the curves defining the boundary of the domain.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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