Multifractal analysis of rectangular pointwise regularity with hyperbolic wavelet bases
DOI10.1007/s00041-021-09890-7zbMath1484.42030OpenAlexW3214644575WikidataQ115609267 ScholiaQ115609267MaRDI QIDQ2057191
Maamoun Turkawi, Mourad Ben Slimane, Ines Ben Omrane, Moez Ben Abid
Publication date: 8 December 2021
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-021-09890-7
wavelet analysisHausdorff dimensiondimension printpointwise regularityanisotropic selfsimilar cascade wavelet series
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fractals (28A80) Hausdorff and packing measures (28A78)
Cites Work
- Baire generic results for the anisotropic multifractal formalism
- Parabolic Besov regularity for the heat equation
- Directional regularity criteria
- Analysis and detection of surface discontinuities using the 3D continuous shearlet transform
- Anisotropic self-affine properties of experimental fracture surfaces
- Operator scaling stable random fields
- Pointwise and directional regularity of nonharmonic Fourier series
- Estimations of Hölder regularities and direction of singularity by Hart Smith and curvelet transforms
- Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
- Hyperbolic wavelet approximation
- Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
- Anisotropic analysis of some Gaussian models
- Wedgelets: Nearly minimax estimation of edges
- Wavelet characterizations for anisotropic Besov spaces
- Fractional Brownian sheet
- Directional and anisotropic regularity and irregularity criteria in Triebel wavelet bases
- The singularity spectrum for general Sierpiński carpets
- Local behavior of traces of Besov functions: prevalent results
- Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces
- The hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic fields
- Image approximation by rectangular wavelet transform
- WAVELET CHARACTERIZATIONS OF MULTI-DIRECTIONAL REGULARITY
- EXPLICIT CONSTRUCTION OF OPERATOR SCALING GAUSSIAN RANDOM FIELDS
- SHEARLET TRANSFORMS AND DIRECTIONAL REGULARITIES
- Orthonormal bases of compactly supported wavelets
- Dimension prints
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
- Multifractal formalism and anisotropic selfsimilar functions
- Fractal Analysis of Surface Roughness by Using Spatial Data
- Isomorphism of some anisotropic Besov and sequence spaces
- WAVELET CHARACTERIZATIONS FOR ANISOTROPIC BESOV SPACES WITH 0<p<1
- Ridgelets: a key to higher-dimensional intermittency?
- Self-Similar Anisotropic Texture Analysis: The Hyperbolic Wavelet Transform Contribution
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