The Existence of Universal Inner Functions on the Unit Ball of ℂ<i><sup>n</sup></i>

P. M. Gauthier, Jian-Zhong Xiao

Type: Article

Publication Date: 2005-09-01

Citations: 10

DOI: https://doi.org/10.4153/cmb-2005-038-4

Abstract

Abstract It is shown that there exists an inner function I defined on the unit ball B n of ℂ n such that each function holomorphic on B n and bounded by 1 can be approximated by “non-Euclidean translates” of I .

Locations

Canadian Mathematical Bulletin - View - PDF

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