Fourier transforms of distributions and Hausdorff measures

DOI10.1007/S00041-014-9328-3zbMath1311.42012OpenAlexW2045687931MaRDI QIDQ485249

Thomas William Körner

Publication date: 9 January 2015

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

Full work available at URL: https://doi.org/10.1007/s00041-014-9328-3

zbMATH Keywords

Fourier transformdistributionsHausdorff measureFourier coefficientssets of uniquenessBaire category theorem

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Hausdorff and packing measures (28A78)

Related Items (1)

\(L^p\) simulation for measures

Cites Work

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• Continuous singular measures with small Fourier-Stieltjes transforms
• On the theorem of Ivasev-Musatov. II
• Uniqueness of trigonometric series and descriptive set theory, 1870-1985
• Small subsets of finite abelian groups
• On singular monotonic functions whose spectrum has a given Hausdorff dimension
• On The Theorem of Ivašev-Musatov III

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