We give a sufficient condition for coefficients of double series ∑∑ n,m a n,m χ n,m with respect to Vilenkin system to be convergent to zero when n + m →∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum
Skvortsov, V., Tulone, F. (2017). On the Coefficients of Multiple Series with Respect to Vilenkin System. TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS, 68(1), 81-92 [10.1515/tmmp-2017-0007].
On the Coefficients of Multiple Series with Respect to Vilenkin System
Tulone, Francesco
2017-01-01
Abstract
We give a sufficient condition for coefficients of double series ∑∑ n,m a n,m χ n,m with respect to Vilenkin system to be convergent to zero when n + m →∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum
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