Salem sets in local fields, the Fourier restriction phenomenon and the Hausdorff-Young inequality

DOI10.1016/j.jfa.2010.03.017zbMath1197.43005OpenAlexW2085528827MaRDI QIDQ982487

Christos Papadimitropoulos

Publication date: 7 July 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.03.017

zbMATH Keywords

Fourier transformvector measureHausdorff dimensionFourier dimensionlocal fieldHausdorff-Young inequalitySalem setultrametric local field

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Algebraic number theory: local fields (11S99) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Non-Archimedean valued fields (12J25) Valued fields (12J10)

Related Items (3)

The zero set of fractional Brownian motion is a Salem set ⋮ Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in thep-adic numbers ⋮ Optimal extension of the Fourier transform and convolution operator on compact groups

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