
The author obtains a characterization of the sequences that satisfy a generalization of the interval-filling property concept, introduced by \textit{Z. Daróczy}, \textit{A. Járai}, and \textit{I. Kátai} [Acta Sci. Math. 50, 337-350 (1986; Zbl 0619.10007)]. He also gives an application in harmonic analysis concerning the Vilenkin group.
interval-filling property, sequences of connected spectrum, Other transforms and operators of Fourier type, Density, gaps, topology, Other number representations, Vilenkin group
interval-filling property, sequences of connected spectrum, Other transforms and operators of Fourier type, Density, gaps, topology, Other number representations, Vilenkin group
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