arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1407.7776math.CAmath.CV
收藏

圆盘解析自映射的插值与采样

Interpolation and sampling for analytic selfmappings of the disc

Nacho Monreal Galan, Michael Papadimitrakis

摘要:

这里考虑两个不同的问题。首先,一个版本的Schwarz-Pick引理的$n$点导致一个插值问题的解析函数从光盘到本身,这可以被认为是一个特殊的情况下,经典的Nevanlinna-Pick插值问题。其次,给出了这类函数的采样序列的一个特征。

英文摘要:

Two different problems are considered here. First, a version of Schwarz-Pick Lemma for $n$ points leads to an interpolation problem for analytic functions from the disc into itself, which may be considered as a particular case of the classical Nevanlinna-Pick interpolation problem. Second, a characterization of sampling sequences for this class of functions is given.

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。

↑