The support of a refinable vector satisfying an inhomogeneous refinement equation

DOI10.1007/s10114-010-7598-5zbMath1186.42020OpenAlexW2063448416MaRDI QIDQ966551

B. E. Eshmatov

Publication date: 23 April 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7598-5

zbMATH Keywords

inhomogeneous refinement equationsupportrefinable vector

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Rate of convergence, degree of approximation (41A25)

Related Items (1)

Inhomogeneous refinement equations with random affine maps

Cites Work

• Unnamed Item
• Inhomogeneous refinement equations
• Fractal functions and wavelet expansions based on several scaling functions
• Matrix refinement equations: existence and uniqueness
• Characterization of smoothness of multivariate refinable functions and convergence of cascade algorithms of nonhomogeneous refinement equations
• Supports of locally linearly independent \(M\)-refinable functions, attractors of iterated function systems and tilings
• Properties of locally linearly independent refinable function vectors
• On the support properties of scaling vectors
• Multivariate nonhomogeneous refinement equations
• Estimating The Support Of A Scaling Vector
• Ten Lectures on Wavelets
• Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations
• Convergence of cascade algorithms associated with nonhomogeneous refinement equations
• Compactly supported distributional solutions of nonstationary nonhomogeneous refinement equations

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