Helson Sets of Synthesis Are Ditkin Sets

DOI10.1090/proc/13887zbMath1383.43005OpenAlexW2772783639MaRDI QIDQ4604685

Antony To-Ming Lau, Ali Ülger

Publication date: 5 March 2018

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

Full work available at URL: https://doi.org/10.1090/proc/13887

zbMATH Keywords

amenable groupsFourier algebraHelson setDitkin setset of synthesis

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Spectral synthesis on groups, semigroups, etc. (43A45) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

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• Weak spectral synthesis in commutative Banach algebras. III
• Spectral synthesis for the Kronecker sets
• Groups of continuous functions in harmonic analysis
• Spectral synthesis for $A(G)$ and subspaces of $VN(G)$
• Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups
• Fourier transforms on perfect sets
• A Helson set of uniqueness but not of synthesis
• Extremally Disconnected Sets in Groups
• L'algèbre de Fourier d'un groupe localement compact
• A Characterization of SH-Sets
• The second duals of Beurling algebras

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