Multifractal formalism for selfsimilar functions expanded in singular basis

DOI10.1006/acha.2001.0364zbMath0997.28006OpenAlexW1991218660MaRDI QIDQ5956054

Mourad Ben Slimane

Publication date: 11 November 2002

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

Full work available at URL: https://doi.org/10.1006/acha.2001.0364

zbMATH Keywords

waveletsHölder regularitylocal Hölder exponentmultifractal formalismself-similar functionsspectrum of singularities

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractals (28A80)

Related Items (10)

MULTIFRACTAL ANALYSIS OF SOME WEIGHTED QUASI-SELF-SIMILAR FUNCTIONS ⋮ Baire typical results for mixed Hölder spectra on product of continuous Besov or oscillation spaces ⋮ Multi-fractal formalism for non-self-similar functions ⋮ Mixed wavelet leaders multifractal formalism for Baire generic functions in a product of intersections of Hölder spaces with non-continuous Besov spaces ⋮ Pointwise regularity of parameterized affine zipper fractal curves ⋮ The pointwise Hölder spectrum of general self-affine functions on an interval ⋮ Mixed wavelet leaders multifractal formalism in a product of critical Besov spaces ⋮ Differentiability and Hölder spectra of a class of self-affine functions ⋮ On wavelet and leader wavelet based large deviation multifractal formalisms for non-uniform Hölder functions ⋮ On the Baire generic validity of the \(t\)-multifractal formalism in Besov and Sobolev spaces

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