On the Fourier dimension and a modification

DOI10.4171/JFG/23zbMath1327.42010arXiv1406.1480OpenAlexW2963470493MaRDI QIDQ887522

Fredrik Ekström, Jörg Schmeling, Tomas Persson

Publication date: 26 October 2015

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1480

zbMATH Keywords

stabilityFourier transformFourier dimension

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractals (28A80)

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• On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets
• Fourier analysis of continued fractions with restricted quotients
• On the Fourier structure of the zero set of fractional Brownian motion
• On Weyl's criterion for uniform distribution
• On singular monotonic functions whose spectrum has a given Hausdorff dimension
• On Fourier Analytic Properties of Graphs
• On the theorem of Jarník and Besicovitch
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers

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