On the decay of singular inner functions
Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 902-905
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It is known that if $S(z)$ is a non-constant singular inner function defined on the unit disk, then $\min _{|z|\le r}|S(z)|\to 0$ as $r\to 1^-$. We show that the convergence can be arbitrarily slow.
Ransford, Thomas. On the decay of singular inner functions. Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 902-905. doi: 10.4153/S0008439520000922
@article{10_4153_S0008439520000922,
author = {Ransford, Thomas},
title = {On the decay of singular inner functions},
journal = {Canadian mathematical bulletin},
pages = {902--905},
year = {2021},
volume = {64},
number = {4},
doi = {10.4153/S0008439520000922},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000922/}
}
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