Local L^2-regularity of Riemann’s Fourier series

DOI10.5802/aif.3135zbMath1412.42008arXiv1405.0810OpenAlexW2963363467MaRDI QIDQ4557605

Stéphane Seuret, Adrián Ubis

Publication date: 26 November 2018

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0810

zbMATH Keywords

Diophantine approximationHausdorff dimensionFourier serieslocal regularity

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Hausdorff and packing measures (28A78) Diophantine approximation in probabilistic number theory (11K60) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (6)

The pointwise behavior of Riemann's function ⋮ The Frisch-Parisi conjecture. I: Prescribed multifractal behavior, and a partial solution ⋮ New Exponents for Pointwise Singularity Classification ⋮ Multifractal analysis of the Brjuno function ⋮ Fourier series in BMO with number theoretical implications ⋮ Generalized $T^p_u$ spaces: On the trail of Calderón and Zygmund

Cites Work

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• Differentiability of Riemann's function
• The spectrum of singularities of Riemann's function
• Hardy-Littlewood series and even continued fractions
• Multifractal behavior of polynomial Fourier series
• Some Fourier series with gaps
• Wavelet analysis of fractal boundaries. I: Local exponents
• The Differentiability of the Riemann Function at Certain Rational Multiples of &#960

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