On the Coefficients of Multiple Series with Respect to Vilenkin System

Francesco Tulone, Valentin A. Skvortsov

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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
Lingua originaleEnglish
pagine (da-a)81-92
Numero di pagine12
RivistaTatra Mountains Mathematical Publications
Volume68
Stato di pubblicazionePublished - 2017

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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