H∞差分插值

Pub Date : 2021-06-29 DOI:10.1556/012.2021.58.2.1482

F. Tugores, L. Tugores

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引用次数: 0

摘要

提出了圆盘上有界解析函数空间的插值问题。内插是由一个函数和它的di来执行的，这些值的下标是通过一个递增的应用来关联的。我们假定数据值满足与伪双曲距离相关的某些条件，并用一致分离的子序列来描述插值序列。

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Interpolation by Differences In H∞

We pose an interpolation problem for the space of bounded analytic functions in the disk. The interpolation is performed by a function and its di˛erence of values in points whose subscripts are related by an increasing application. We impose that the data values satisfy certain conditions related to the pseudohyperbolic distance, and characterize interpolating sequences in terms of uniformly separated subsequences.

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