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Uniqueness of Almost Everywhere Convergent Vilenkin Series
Published online by Cambridge University Press: 20 November 2018
Abstract
D. J. Grubb [3] has shown that uniqueness holds, under a mild growth condition, for Vilenkin series which converge almost everywhere to zero. We show that, under even less restrictive growth conditions, one can replace the limit function 0 by an arbitrary $f\,\in \,{{L}^{q}}$, when
$q\,>\,1$.
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- Research Article
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- Copyright © Canadian Mathematical Society 2004