Pointwise and directional regularity of nonharmonic Fourier series

DOI10.1016/j.acha.2010.02.002zbMath1193.42126OpenAlexW2164550108MaRDI QIDQ970365

Stéphane Jaffard

Publication date: 17 May 2010

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-00798367/file/PDRNFS.pdf

zbMATH Keywords

wavelet transformGabor waveletsHölder classesnonharmonic Fourier seriesdirectional regularity

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Harmonic analysis in several variables (42B99)

Related Items (9)

Anisotropic two-microlocal spaces and regularity ⋮ Multifractal analysis of Lévy fields ⋮ Criteria of pointwise and uniform directional Lipschitz regularities on tensor products of Schauder functions ⋮ Directional and anisotropic regularity and irregularity criteria in Triebel wavelet bases ⋮ Directional regularity criteria ⋮ About the uniform Hölder continuity of generalized Riemann function ⋮ Directional multifractal analysis in the \(L^p\) setting ⋮ Multifractal analysis of rectangular pointwise regularity with hyperbolic wavelet bases ⋮ WAVELET CHARACTERIZATIONS OF MULTI-DIRECTIONAL REGULARITY

Cites Work

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• The differentiability of Fourier gap series and ``Riemann's example of a continuous, nondifferentiable function
• Pointwise smoothness, two-microlocalization and wavelet coefficients
• One point regularity properties of multiple Fourier series with gaps
• The spectrum of singularities of Riemann's function
• Théoremes élémentaires sur les séries de Fourier lacunaires
• An example of non-differentiability in triangle geometry
• Wavelet techniques for pointwise regularity
• Wavelet analysis of fractal boundaries. II: Multifractal analysis
• Multifractal formalism and anisotropic selfsimilar functions
• Analyse 2-microlocale et développementen série de chirps d'une fonction de Riemann et de ses généralisations
• Wavelet methods for pointwise regularity and local oscillations of functions

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