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arXiv · 1908.06753

An entire free holomorphic function which is unbounded on the row ball

J. E. Pascoe
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Abstract

We give an entire free holomorphic function $f$ which is unbounded on the row ball. That is, we give a holomorphic free noncommutative function which is continuous in the free topology developed by Agler and McCarthy but is unbounded on the set of row contractions.

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J. E. Pascoe. 2019-08-16. An entire free holomorphic function which is unbounded on the row ball. https://arxiv.org/abs/1908.06753

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