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On the decay of singular inner functions
Published online by Cambridge University Press: 02 December 2020
Abstract
It is known that if
$S(z)$
is a non-constant singular inner function defined on the unit disk, then
$\min _{|z|\le r}|S(z)|\to 0$
as
$r\to 1^-$
. We show that the convergence can be arbitrarily slow.
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- © Canadian Mathematical Society 2020
Footnotes
Research supported by grants from NSERC and the Canada research chairs program.
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