On a uniqueness theorem for the Franklin system (Ֆրանկլինի համակարգի միակության մի թեորեմի մասին)
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Abstract
In this paper we prove that there exist a nontrivial Franklin series and a sequence Mn such that the partial sums SMn (x) of that series converge to 0 almost everywhere and λ · mes{x : sup n |SMn (x)| > λ} → 0 as λ → +∞.
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