Spectral properties of two-slanted matrices

DOI10.1007/BF03322813zbMath0931.15004OpenAlexW2084638888MaRDI QIDQ1296997

Lothar Berg, Gerlind Plonka-Hoch

Publication date: 13 December 1999

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322813

zbMATH Keywords

eigenvaluestwo-scale difference equationstwo-slanted matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Difference equations, scaling ((q)-differences) (39A13)

Related Items

The Euler binary partition function and subdivision schemes, REFINEMENT EQUATIONS AND CORRESPONDING LINEAR OPERATORS, Slanted matrices, Banach frames, and sampling, Eigenfunctions of two-scale difference equations and Appell polynomials, Spectral factorization of 2-block Toeplitz matrices and refinement equations, Piecewise-smooth refinable functions, Stability of localized operators

Cites Work

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• Uniform refinement of curves
• Compactly supported solutions of two-scale difference equations
• Characterization of compactly supported refinable splines
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Ten Lectures on Wavelets
• Sobolev Characterization of Solutions of Dilation Equations
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• On the Regularity of Matrix Refinable Functions
• Characterizations of Scaling Functions: Continuous Solutions