On the affirmative solution to Salem's problem

DOI10.1515/ANLY-2019-0026zbMath1431.42011arXiv1501.00141OpenAlexW2985619793MaRDI QIDQ2291762

Semyon B. Yakubovich

Publication date: 31 January 2020

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00141

zbMATH Keywords

Fourier-Stieltjes transformFourier-Stieltjes coefficientsMinkowski question mark functionSalem's problem

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) 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)

Related Items (1)

Regularity of Minkowski's question mark measure, its inverse and a class of IFS invariant measures

Uses Software

• DLMF

Cites Work

• Fourier transforms of Gibbs measures for the Gauss map
• On some Rajchman measures and equivalent Salem's problem
• The Fourier-Stieltjes transform of Minkowskis \(?(x)\) function and an affirmative answer to Salem's problem
• The Minkowski ?\((x)\) function and Salem's problem
• Orthogonal polynomials for Minkowski's question mark function
• ON MONOTONIC FUNCTIONS WHOSE SPECTRUM IS A CANTOR SET WITH CONSTANT RATIO OF DISSECTION
• On Some Singular Monotonic Functions Which Are Strictly Increasing
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