On the coefficients of multiple series with respect to Vilenkin system
Abstract
We give a sufficient condition for coefficients of double series $\sum\sum_{n,m}a_{n,m}\chi_{n,m}$
with respect to Vilenkin system to be convergent to zero when $n+m\rightarrow \infty$.
This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum
with respect to Vilenkin system to be convergent to zero when $n+m\rightarrow \infty$.
This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum