This article is cited in 3 papers

Necessary conditions for sets of uniqueness of Walsh series with gaps

S. F. Lukomskii


Abstract: Necessary conditions on a set of uniqueness for a Walsh series in a subsystem $\{\omega_{n_k}(t)\}$ are exhibited, depending on the rate of growth of the sequence $\{n_k\}$, and it is proved that they are definitive.
Bibliography: 4 titles.

UDC: 517.5

MSC: 42C10

Received: 28.02.1986

 English version: Mathematics of the USSR-Sbornik, 1988, 61:2, 461–470

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