Resumen de Uniqueness of Almost Everywhere Convergent Vilenkin Series

W.R. Wade

• 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 Lq, when q > 1.