Sets of Uniqueness in Compact, O-Dimensional Metric Groups

DOI10.2307/2000336zbMath0618.43004OpenAlexW4241088376MaRDI QIDQ4727645

D. J. Grubb

Publication date: 1987

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000336

zbMATH Keywords

uniqueness theoremsWalsh seriesVilenkin groupsquasi-measuresVilenkin series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (6)

Henstock type integral in compact zero-dimensional metric space and quasi-measures representations ⋮ On the Vilenkin-Chrestenson systems and their rearrangements ⋮ \(\mathcal V\)-sets in the products of zero-dimensional compact abelian groups ⋮ Reconstruction of a generalized Fourier series from its sum on a compact zero-dimensional group in the non-abelian case ⋮ Variational measure and sufficient differentiability condition of additive interval function ⋮ Summation Methods and Uniqueness in Vilenkin Groups

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