Stability analysis of biorthogonal multiwavelets whose duals are not in \(L_2\) and its application to local semiorthogonal lifting
DOI10.1016/j.apnum.2007.06.002zbMath1147.65113OpenAlexW2047364218MaRDI QIDQ932790
Publication date: 11 July 2008
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.cs.kuleuven.be/cwis/research/nalag/papers/ade/jfa05/
lifting schemesubdivisionbiorthogonal waveletsmultiwaveletscompactly supported wavelet basislocal semiorthogonal liftingmultivariate waveletsrange of Sobolev exponentsRiesz stability
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hierarchical Riesz bases for \(H^{s}(\Omega),\;1 < s < \frac{5}{2}\)
- Stable multiresolution analysis on triangles for surface compression
- On the multi-level splitting of finite element spaces
- Multilevel preconditioning
- Subdivision of uniform Powell--Sabin splines
- \(C^ 1\)-hierarchical bases
- Convergence of multidimensional cascade algorithm
- Stability of multiscale transformations
- Triangular \(\sqrt 3\)-subdivision schemes: The regular case
- Biorthogonal multiwavelets on the interval: Cubic Hermite splines
- Compactly supported bidimensional wavelet bases with hexagonal symmetry
- The Sobolev regularity of refinable functions
- Local decomposition of refinable spaces and wavelets
- The lifting scheme: A custom-design construction of biorthogonal wavelets
- A new technique to estimate the regularity of refinable functions
- Criteria for hierachical bases in Sobolev spaces
- Riesz multiwavelet bases
- Ten Lectures on Wavelets
- Wavelet Methods for Fast Resolution of Elliptic Problems
- Hierarchical Conforming Finite Element Methods for the Biharmonic Equation
- Piecewise Quadratic Approximations on Triangles
- Multivariate Refinement Equations and Convergence of Subdivision Schemes
- Stabilizing the Hierarchical Basis by Approximate Wavelets II: Implementation and Numerical Results
- Multivariate matrix refinable functions with arbitrary matrix dilation
- Refinable Function Vectors
- The Lifting Scheme: A Construction of Second Generation Wavelets
- A Stabilized Lifting Construction of Wavelets on Irregular Meshes on the Interval
- Design of Hermite Subdivision Schemes Aided by Spectral Radius Optimization
- Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
- Spectral Analysis of the Transition Operator and Its Applications to Smoothness Analysis of Wavelets
- Equivalent Norms for Sobolev Spaces
- Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets
This page was built for publication: Stability analysis of biorthogonal multiwavelets whose duals are not in \(L_2\) and its application to local semiorthogonal lifting