The hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic fields

DOI10.4171/RMI/836zbMath1336.46028arXiv1210.1944OpenAlexW1599594355MaRDI QIDQ2340470

Béatrice Vedel, Marianne Clausel, Patrice Abry, Stéphane Jaffard, Stéphane G. Roux

Publication date: 17 April 2015

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1944

zbMATH Keywords

anisotropic Besov spacespointwise Hölder regularityhyperbolic wavelet analysisanisotropic multifractal analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (7)

Asymptotic performance of projection estimators in standard and hyperbolic wavelet bases ⋮ Dimension prints for continuous functions on the unit square ⋮ Criteria of pointwise and uniform directional Lipschitz regularities on tensor products of Schauder functions ⋮ Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces ⋮ Directional multifractal analysis in the \(L^p\) setting ⋮ Multifractal analysis of rectangular pointwise regularity with hyperbolic wavelet bases ⋮ Anisotropy of Hölder Gaussian random fields: characterization, estimation, and application to image textures

Cites Work

• Baire generic results for the anisotropic multifractal formalism
• Parabolic Besov regularity for the heat equation
• Local and asymptotic properties of linear fractional stable sheets
• Hausdorff dimension of the graph of the fractional Brownian sheet
• Hyperbolic wavelet thresholding methods and the curse of dimensionality through the maxiset approach
• Irregularities and scaling in signal and image processing: multifractal analysis

This page was built for publication: The hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic fields