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Cyclic Vectors in Some Weighted Lp Spaces of Entire Functions
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper, we generalize a result recently obtained by the author. We characterize the cyclic vectors in
$L_{a}^{p}\,\left( \mathbb{C},\,\phi \right)$
. Let
$f\,\in \,L_{a}^{p}\,\left( \mathbb{C},\,\phi \right)$
and
$fC$
be contained in the space. We show that
$f$ is non-vanishing if and only if
$f$ is cyclic.
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- Copyright © Canadian Mathematical Society 2008
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