Mean size formula of wavelet subdivision tree on Heisenberg group

DOI10.1007/S11766-008-1911-4zbMath1199.42156OpenAlexW2127106043MaRDI QIDQ1032788

Guo Mao Wang

Publication date: 11 November 2009

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-008-1911-4

zbMATH Keywords

stabilityHeisenberg groupjoint spectral radiuswavelet packetssubdivision tree

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Convergence and divergence of series and sequences of functions (40A30) Functional equations and inequalities (39B99)

Related Items (2)

On the Rayleigh–Taylor Instability for the Incompressible Viscous Magnetohydrodynamic Equations ⋮ Critical magnetic number in the magnetohydrodynamic Rayleigh-Taylor instability

Cites Work

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• Uniform refinement of curves
• The \(p\)-norm joint spectral radius for even integers
• Admissible wavelets associated with the Heisenberg group
• Mean size of wavelet packets
• Subdivision schemes in \(L_ p\) spaces
• Cascade algorithm and multiresolution analysis on the Heisenberg group
• A generalization of the mean size formula of wavelet packets in \(L_p\)
• Convergence of cascade sequence on the Heisenberg group
• Characterizations of Scaling Functions: Continuous Solutions
• Smoothness of Multiple Refinable Functions and Multiple Wavelets
• Entropy-based algorithms for best basis selection
• \(L_p\) solutions of refinement equations
• Norms concerning subdivision sequences and their applications in wavelets

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