Spectral radii of refinement and subdivision operators

DOI10.1090/S0002-9939-05-07899-8zbMath1061.42024MaRDI QIDQ4671872

Viktor D. Didenko

Publication date: 27 April 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectral radiusrefinement operatorsubdivision operatororthogonal dyadic wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear composition operators (47B33) Spectral sets of linear operators (47A25)

Related Items (1)

The bounds estimate of sub-band operators for multi-band wavelets

Cites Work

• Adjoints of slant Toeplitz operators
• On the spectral radius of convolution dilation operators
• The spectral radius of a multivariate sampling operator
• Subdivision schemes in \(L_ p\) spaces
• A new technique to estimate the regularity of refinable functions
• Regularity of wavelet bases and ergodic measures
• Spectral radius of the sampling operator with continuous symbol
• Orthonormal bases of compactly supported wavelets
• Stationary subdivision
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• Wavelet Analysis of Refinement Equations
• Spectra of subdivision operators
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