The Existence of Universal Inner Functions on the Unit Ball of $mathbb{C}^n$

Canadian mathematical bulletin

关键词: universal inner functions;   

DOI  :  10.4153/CMB-2005-038-4

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

It is shown that there exists an inner function$I$ defined on the unit ball ${f B}^n$ of ${mathbb C}^n$ such that each function holomorphic on ${f B}^n$ and bounded by $1$ can be approximated by``non-Euclidean translates" of $I$.

【 授权许可】

Unknown