1. CMB 2004 (vol 47 pp. 475)
|Uniqueness of Almost Everywhere Convergent Vilenkin Series |
D. J. Grubb  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 $q>1$.