限制t -通用函数

J. Approx. Theory Pub Date : 2002-02-01 DOI:10.1006/jath.2001.3640

W. Luh, V. A. Martirosian, J. Müller

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引用次数: 10

摘要

我们证明了一个函数@f的存在性，它在单位盘D上完全全纯，并且对一个规定的闭集有全称平移。D，满足@[email protected]?C^~(@?D\E)。如果Q是N ' 0的子序列，且上密度d(Q)=1，则函数@f可以构造为在[email protected] (z)[email protected]?n = 0 ~“新西兰^ nwitha”(邮件保护)? Q。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Restricted T-Universal Functions

We prove the existence of a function @f which is holomorphic exactly in the unit disk D and has universal translates with respect to a prescribed closed set [email protected][email protected]?D and satisfies @[email protected]?C^~(@?D\E). If Q is a subsequence of N"0 with upper density d(Q)=1 then the function @f can be constructed such that in [email protected] (z)[email protected]?n=0~a"nz^nwitha"[email protected]?Q.

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J. Approx. Theory

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