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On Walsh series with monotone coefficients

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©, 1999 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation G G Gevorkyan and K A Navasardyan 1999 Izv. Math. 63 37 DOI 10.1070/IM1999v063n01ABEH000227

1064-5632/63/1/37

Abstract

We prove that if and then the Walsh series has the following property. For any measurable function  which is finite almost everywhere, there are numbers such that the series converges to  almost everywhere. This assertion complements and strengthens previously known results about universal Walsh series and Walsh null-series.

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10.1070/IM1999v063n01ABEH000227