Contents
Research Article
Uniqueness of Almost Everywhere Convergent Vilenkin Series
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- Published online by Cambridge University Press:
- 20 November 2018, pp. 475-480
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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 
$q\,>\,1$.
