Simple Wavelet Sets for Matrix Dilations in ℝ2
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Publication:2919995
DOI10.1080/01630563.2012.683386zbMath1254.42047OpenAlexW2008060664MaRDI QIDQ2919995
Publication date: 23 October 2012
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2012.683386
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)
Related Items (5)
Decomposing the wavelet representation for shifts by wallpaper groups ⋮ Unnamed Item ⋮ Wavelet sets and scaling sets in local fields ⋮ Tight wavelet frame sets in finite vector spaces ⋮ Simple wavelet sets in \(\mathbb{R}^{n}\)
Cites Work
- Smoothing minimally supported frequency wavelets. II
- Meyer type wavelet bases in \(\mathbb R^{2}\)
- Single wavelets in \(n\)-dimensions
- Wavelet sets in \(\mathbb{R}^ n\)
- Haar type orthonormal wavelet bases in \(R^2\)
- On multiresolution analysis (MRA) wavelets in \(\mathbb{R}^n\)
- Classification of integral expanding matrices and self-affine tiles
- Construction of wavelet sets with certain self-similarity properties
- Generalized multi-resolution analyses and a construction procedure for all wavelet sets in \(\mathbb{R}^n\)
- Tight frames and geometric properties of wavelet sets
- A non-MRA \(c^r\) frame wavelet with rapid decay
- A direct integral decomposition of the wavelet representation
- Ten Lectures on Wavelets
- A characterization of wavelets on general lattices.
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