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The Existence of Universal Inner Functions on the Unit Ball of ℂn
Published online by Cambridge University Press: 20 November 2018
Abstract
It is shown that there exists an inner function $I$ defined on the unit ball ${{\text{B}}^{n}}$ of ${{\mathbb{C}}^{n}}$ such that each function holomorphic on ${{\text{B}}^{n}}$ and bounded by 1 can be approximated by “non-Euclidean translates” of $I$.
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- Copyright © Canadian Mathematical Society 2005
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