Universal Singular Inner Functions
Universal Singular Inner Functions
复制标题
通用奇异内部函数
DOI：
10.4153/cmb-2004-003-0
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
R. Mortini
中科院分区：
文献类型：
--
作者：
P. Gorkin;R. Mortini
Abstract We show that there exists a singular inner function $S$ which is universal for noneuclidean translates; that is one for which the set $\{S(\frac{z\,+\,{{z}_{n}}}{1\,+\,{{{\bar{z}}}_{n}}z})\,:\,n\,\in \,\mathbb{N}\}$ is locally uniformly dense in the set of all zero-free holomorphic functions in $\mathbb{D}$ bounded by one.
Abstract We show that there exists a singular inner function $S$ which is universal for noneuclidean translates; that is one for which the set $\{S(\frac{z\,+\,{{z}_{n}}}{1\,+\,{{{\bar{z}}}_{n}}z})\,:\,n\,\in \,\mathbb{N}\}$ is locally uniformly dense in the set of all zero-free holomorphic functions in $\mathbb{D}$ bounded by one.