Compactly supported solutions of two-scale difference equations
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Publication:1307195
DOI10.1016/S0024-3795(97)10012-XzbMath0935.39003MaRDI QIDQ1307195
Lothar Berg, Gerlind Plonka-Hoch
Publication date: 9 May 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
waveletsinvariant subspacesrefinable functionscompactly supported solutionstwo-scale difference equation
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Additive difference equations (39A10)
Related Items (5)
Subsequence convergence in subdivision ⋮ Eigenfunctions of two-scale difference equations and Appell polynomials ⋮ Irregular scaling functions with orthogonal translations ⋮ De Rham's singular function, two-scale difference equations and Appell polynomials ⋮ Spectral properties of two-slanted matrices
Cites Work
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- Uniform refinement of curves
- Ein maßtheoretischer Satz mit Anwendungen auf Funktionalgleichungen
- Characterization of compactly supported refinable splines
- Subdivision schemes in \(L_ p\) spaces
- Analysis of uniform binary subdivision schemes for curve design
- Multidimensional Iterative Interpolation
- On the Solution of Certain Systems of Partial Difference Equations and Linear Dependence of Translates of Box Splines
- Stationary subdivision
- Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
- Ten Lectures on Wavelets
- Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
- Stability and Linear Independence Associated with Wavelet Decompositions
- Characterizations of Scaling Functions: Continuous Solutions
- Wavelet Analysis of Refinement Equations
- Characterization of $L^p $-Solutions for the Two-Scale Dilation Equations
- On Subdivision Interpolation Schemes
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