WAVELETS WITH VANISHING MOMENTS ON THE HEISENBERG GROUP

DOI10.1142/S0219691310003328zbMath1192.43003MaRDI QIDQ5305107

Yu Liu, Li Zhong Peng

Publication date: 19 March 2010

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

waveletsmultiresolution analysisHeisenberg groupfilters

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (5)

CONSTRUCTION OF MRA E-TIGHT FRAME WAVELETS, MULTIPLIERS AND CONNECTIVITY PROPERTIES ⋮ BALANCED MULTIWAVELETS ON THE INTERVAL [0,1 WITH ARBITRARY INTEGER DILATION FACTOR a] ⋮ Regular orthogonal basis on Heisenberg group and application to function spaces ⋮ SPLINE WAVELETS WITH BOUNDARY VALUES AND VANISHING MOMENTS ⋮ Pseudo-annular decomposition and approximate rate of Calderón–Zygmund operators on Heisenberg group

Cites Work

• Unnamed Item
• Multiresolution analysis, self-similar tilings and Haar wavelets on the Heisenberg group
• Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments
• Admissible wavelets associated with the Heisenberg group
• General existence theorems for orthonormal wavelets, an abstract approach
• Refinable functions on the Heisenberg group
• Lipschitz continuity of refinable functions on the Heisenberg group
• Convergence of cascade sequence on the Heisenberg group
• MULTIRESOLUTION ANALYSIS AND HAAR WAVELETS ON THE PRODUCT OF HEISENBERG GROUP
• Approximation properties of multivariate wavelets

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