On extension to Fourier transforms

DOI10.1016/J.JMAA.2023.127508zbMath1529.43003arXiv2110.07092OpenAlexW4379879717MaRDI QIDQ6115667

V. V. Lebedev

Publication date: 10 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.07092

zbMATH Keywords

Sidon setsFourier algebraextension operatorsHelson sets

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

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• Interpolation and Sidon sets for compact groups
• On the best constants in the Khinchin inequality
• Helson sets and simultaneous extensions to Fourier transforms

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