Minimally supported frequency composite dilation Parseval frame wavelets

DOI10.1007/s12220-008-9049-4zbMath1178.42029OpenAlexW2078163802MaRDI QIDQ1032602

Jeffrey D. Blanchard

Publication date: 26 October 2009

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-008-9049-4

zbMATH Keywords

waveletsCoxeter groupswavelet framesaffine systemsParseval frameswavelet setscomposite dilation waveletsminimally supported frequency

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Reflection and Coxeter groups (group-theoretic aspects) (20F55) General harmonic expansions, frames (42C15) Reflection groups, reflection geometries (51F15)

Related Items (4)

Some crystallographic Haar type composite dilation wavelets for P4 = C4 ⋉ ℤ2 ⋮ Refinable functions for dilation families ⋮ Wavelets with crystal symmetry shifts ⋮ Directional multiscale processing of images using wavelets with composite dilations

Cites Work

• Meyer type wavelet bases in \(\mathbb R^{2}\)
• Multiresolution analyses based on fractal functions
• Wavelet sets in \(\mathbb{R}^ n\)
• Frame wavelets with frame set support in the frequency domain
• Frame wavelet sets in \({\mathbb{R}}^{d}\)
• Generalized multi-resolution analyses and a construction procedure for all wavelet sets in \(\mathbb{R}^n\)
• Wavelets with composite dilations and their MRA properties
• Minimally supported frequency composite dilation wavelets
• Wavelets with composite dilations
• Ridgelets: a key to higher-dimensional intermittency?
• An introduction to frames and Riesz bases
• Curvelets and curvilinear integrals
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