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arXiv · 2012.01157

On the decay of singular inner functions

Thomas Ransford
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Abstract

It is known that, if $S(z)$ is a non-constant, singular inner function defined on the unit disk, then $\min_{|z|\le r}|S(z)|\to0$ as $r\to1^-$. We show that the convergence may be arbitrarily slow.

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Thomas Ransford. 2020-12-02. On the decay of singular inner functions. https://doi.org/10.4153/s0008439520000922

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