On the Coefficients of Multiple Series with Respect to Vilenkin System

Skvortsov, Valentin A.; Tulone, Francesco

doi:10.1515/tmmp-2017-0007

Abstract

We give a sufficient condition for coefficients of double series Σ Σ_n,ma_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.

References

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On the Coefficients of Multiple Series with Respect to Vilenkin System

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