Uniqueness of Almost Everywhere Convergent Vilenkin Series

• Autores: W.R. Wade
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 47, Nº 3, 2004, págs. 475-480
• Idioma: inglés
• DOI: 10.4153/cmb-2004-047-8
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• Resumen

  • 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.