Liouville numbers, Rajchman measures, and small Cantor sets

DOI10.1090/S0002-9939-00-05276-XzbMath1003.11036MaRDI QIDQ4490224

Christian Bluhm

Publication date: 10 July 2000

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

zbMATH Keywords

Cantor setHausdorff dimensionpositive measureLiouville numbers

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80) Metric theory (11J83)

Related Items (9)

Borel sets which are null or non-\(\sigma\)-finite for every translation invariant measure ⋮ A CONTINUOUS HOMOMORPHISM OF A THIN SET ONTO A FAT SET ⋮ Normal Numbers and Computer Science ⋮ The behavior of \(\sum_{n=1}^\infty \zeta^{\lfloor n\theta\rfloor}/n\) for particular values of \(\theta\) ⋮ Liouville numbers and normal numbers ⋮ Propagation estimates for one commutator regularity ⋮ Self-similar measures and the Rajchman property ⋮ A computable absolutely normal Liouville number ⋮ Fourier transforms of Gibbs measures for the Gauss map

Cites Work

• Unnamed Item
• Seventy years of Rajchman measures
• On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets
• On The Theorem of Ivašev-Musatov III
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers

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