Convergence of cascade algorithms in Sobolev spaces associated with multivariate refinement equations

DOI10.1006/jmaa.2000.7339zbMath0993.42013OpenAlexW2004597519MaRDI QIDQ5937234

Song Li

Publication date: 20 September 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.2000.7339

zbMATH Keywords

convergence of cascade algorithm in Sobolev spaceinhomogeneous refinement equationtransition operator

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) Numerical methods for wavelets (65T60)

Related Items (4)

Vector cascade algorithms and refinable function vectors in Sobolev spaces ⋮ Subdivision schemes with polynomially decaying masks ⋮ Inhomogeneous refinement equations with random affine maps ⋮ Pointwise convergence of bounded cascade sequences

Cites Work

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• Inhomogeneous refinement equations
• Convergence of multidimensional cascade algorithm
• Convergence of cascade algorithms in Sobolev spaces associated with inhomogeneous refinement equations
• Convergence of cascade algorithms in Sobolev spaces and integrals of wavelets
• Subdivision schemes in \(L_ p\) spaces
• Analysis of uniform binary subdivision schemes for curve design
• Stationary subdivision
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Vector subdivision schemes and multiple wavelets
• Wavelet Analysis of Refinement Equations
• Refinable Function Vectors
• Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations
• Convergence of cascade algorithms associated with nonhomogeneous refinement equations

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