Regularity of refinable functions with exponentially decaying masks

DOI10.1016/j.jmaa.2010.05.051zbMath1197.42028OpenAlexW2020823279MaRDI QIDQ990839

Song Li, Jianbin Yang

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.051

zbMATH Keywords

regularitySobolev spacesLipschitz spacesrefinable functionstransition operatorsinfinite refinement masks

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (3)

A multiscale Galerkin method for the hypersingular integral equation reduced by the harmonic equation ⋮ Vector cascade algorithms with infinitely supported masks in weighted \(L_2\)-spaces ⋮ Smoothness of multivariate refinable functions with infinitely supported masks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Refinable functions with exponential decay: an approach via cascade algorithms
• Compactly supported refinable distributions in Triebel-Lizorkin spaces and Besov spaces
• Regularity of multivariate refinable functions
• A decay theorem for refinable functions
• Regularity of refinable function vectors
• Regularity of multiwavelets
• Vector cascade algorithms and refinable function vectors in Sobolev spaces
• Characterization of smoothness of multivariate refinable functions and convergence of cascade algorithms of nonhomogeneous refinement equations
• The Sobolev regularity of refinable functions
• A new technique to estimate the regularity of refinable functions
• Criteria for hierachical bases in Sobolev spaces
• Vector refinement equations with infinitely supported masks
• Characterization of Riesz bases of wavelets generated from multiresolution analysis
• Solutions in Sobolev spaces of vector refinement equations with a general dilation matrix
• Convergence rates of vector cascade algorithms in \(L_p\)
• Computing the Sobolev Regularity of Refinable Functions by the Arnoldi Method
• Refinable Functions and Cascade Algorithms in Weighted Spaces with Hölder Continuous Masks
• Stationary subdivision
• Ten Lectures on Wavelets
• Stability and Linear Independence Associated with Wavelet Decompositions
• On the Regularity of Matrix Refinable Functions
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Multivariate matrix refinable functions with arbitrary matrix dilation
• Characterization of Smoothness of Multivariate Refinable Functions in Sobolev Spaces
• Wavelets and recursive filter banks
• Refinable Function Vectors
• A Note on Matrix Refinement Equations
• Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
• Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets
• Smoothness of Multiple Refinable Functions and Multiple Wavelets
• Fractional Splines and Wavelets

This page was built for publication: Regularity of refinable functions with exponentially decaying masks