Stability implies convergence of cascade algorithms in Sobolev space
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Publication:1604226
DOI10.1006/jmaa.2001.7782zbMath1006.65154OpenAlexW2071098221MaRDI QIDQ1604226
Publication date: 4 July 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2001.7782
waveletsstabilitySobolev spacemultiresolution analysisHermite interpolantcascade algorithmvector subdivision schemes
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)
Related Items (7)
Density order of Parseval wavelet frames from extension principles ⋮ Vector cascade algorithms and refinable function vectors in Sobolev spaces ⋮ On the density order of the principal shift-invariant subspaces of \(L^2(\mathbb R^d)\) ⋮ Convergence of subdivision schemes and smoothness of limit functions ⋮ The independence of initial vectors in the subdivision schemes ⋮ Anisotropic dilations of shift-invariant subspaces and approximation properties in L2(Rd) ⋮ Convergence of cascade algorithms by frequency approach
Cites Work
- Stability of the shifts of a finite number of functions
- On vector subdivision
- Regularity of refinable function vectors
- Regularity of multiwavelets
- Convergence of cascade algorithms in Sobolev spaces and integrals of wavelets
- Convergence of vector subdivision schemes in Sobolev spaces
- Approximation by multiinteger translates of functions having global support
- Subdivision schemes in \(L_ p\) spaces
- Multiple refinable Hermite interpolants
- Stationary subdivision
- Multivariate Refinement Equations and Convergence of Subdivision Schemes
- Vector subdivision schemes and multiple wavelets
- On linear independence for integer translates of a finite number of functions
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