Sets of zero discrete harmonic density

DOI10.1017/S0305004109990375zbMath1188.43006MaRDI QIDQ3550752

Colin C. Graham, Kathryn E. Hare

Publication date: 6 April 2010

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Bohr compactificationSidon setHelson setinterpolation setrandom subsets of \(\mathbb Z\)

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

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• Random integers and harmonic analysis
• Balayage in Fourier Transforms: General Results, Perturbation, and Balayage With Sparse Frequencies
• Unique Balayage in Fourier Transforms on Compact Abelian Groups
• A Theorem of C. Ryll-Nardzewski and Metrizable L.C.A. Groups
• $\varepsilon$-Kronecker and $I_{0}$ sets in abelian groups, I: arithmetic properties of $\varepsilon$-Kronecker sets
• ε-Kronecker and I₀sets in abelian groups, III: interpolation by measures on small sets

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