Convergence of cascade sequence on the Heisenberg group

DOI10.1090/S0002-9939-05-08108-6zbMath1081.40002OpenAlexW2085453114MaRDI QIDQ3372127

Yu Liu, He Ping Liu

Publication date: 17 February 2006

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08108-6

zbMATH Keywords

wavelet analysisjoint spectral radius

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Convergence and divergence of series and sequences of functions (40A30) General harmonic expansions, frames (42C15) Functional equations and inequalities (39B99)

Related Items (5)

Applications of multiresolution analysis in Besov-Q type spaces and Triebel-Lizorkin-Q type spaces ⋮ WAVELETS WITH VANISHING MOMENTS ON THE HEISENBERG GROUP ⋮ Regular orthogonal basis on Heisenberg group and application to function spaces ⋮ Mean size formula of wavelet subdivision tree on Heisenberg group ⋮ Pseudo-annular decomposition and approximate rate of Calderón–Zygmund operators on Heisenberg group

Cites Work

• Convergence of multidimensional cascade algorithm
• Admissible wavelets associated with the Heisenberg group
• General existence theorems for orthonormal wavelets, an abstract approach
• Subdivision schemes in \(L_ p\) spaces
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Infinite convolution products and refinable distributions on Lie groups
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