Geodesic
Uniqueness of Almost Everywhere Convergent Vilenkin Series
Canadian mathematical bulletin, Tome 47 (2004) no. 3, pp. 475-480

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DOI

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 $q\,>\,1$ .
DOI : 10.4153/CMB-2004-047-8
Mots-clés : 43A75, 42C10 
Wade, W. R. Uniqueness of Almost Everywhere Convergent Vilenkin Series. Canadian mathematical bulletin, Tome 47 (2004) no. 3, pp. 475-480. doi: 10.4153/CMB-2004-047-8
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     title = {Uniqueness of {Almost} {Everywhere} {Convergent} {Vilenkin} {Series}},
     journal = {Canadian mathematical bulletin},
     pages = {475--480},
     year = {2004},
     volume = {47},
     number = {3},
     doi = {10.4153/CMB-2004-047-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-047-8/}
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