Singularity spectrum of multifractal functions involving oscillating singularities

DOI10.1007/BF02475987zbMath0914.28005MaRDI QIDQ1271483

Stéphane Jaffard, Jean-François Muzy, Alain Arneodo, Emmanuel Bacry

Publication date: 6 June 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59558

zbMATH Keywords

waveletHausdorff dimensionHölder regularityoscillating singularitymultifractal functions

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Fractals (28A80)

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Cites Work

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• Pointwise smoothness, two-microlocalization and wavelet coefficients
• Singularity spectrum of fractal signals from wavelet analysis: Exact results
• Oscillating singularities on Cantor sets: A grand-canonical multifractal formalism
• The dimension spectrum of some dynamical systems
• Multifractal Formalism for Functions Part II: Self-Similar Functions
• Wavelet methods for pointwise regularity and local oscillations of functions
• On the multifractal analysis of measures

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