On some Rajchman measures and equivalent Salem's problem

zbMath1277.33004arXiv1112.6147MaRDI QIDQ380695

Semyon B. Yakubovich

Publication date: 14 November 2013

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.6147

zbMATH Keywords

Dirichlet problemGreen functionfractional Laplaciansymmetric stable process

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

Minkowski's question mark measure ⋮ On the affirmative solution to Salem's problem ⋮ Regularity of Minkowski's question mark measure, its inverse and a class of IFS invariant measures

Cites Work

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• The Fourier-Stieltjes transform of Minkowskis \(?(x)\) function and an affirmative answer to Salem's problem
• The Minkowski ?\((x)\) function and Salem's problem
• Seventy years of Rajchman measures
• Sur une fonction réelle de Minkowski
• ON MONOTONIC FUNCTIONS WHOSE SPECTRUM IS A CANTOR SET WITH CONSTANT RATIO OF DISSECTION
• Fourier-Stieltjes Transforms and Singular Infinite Convolutions
• On Some Singular Monotonic Functions Which Are Strictly Increasing

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