The path-connectivity of MRA wavelets in \(L^2(\mathbb R^d)\)

zbMath1238.42019MaRDI QIDQ648757

Xingde Dai, Yuanan Diao, Wei Huang, Zhong Yan Li

Publication date: 28 November 2011

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1318598674

zbMATH Keywords

wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (7)

On Parseval super-frame wavelets ⋮ Parseval frame wavelet multipliers in \( L^2(\mathbb {R}^d)\) ⋮ The equivalence between seven classes of wavelet multipliers and arcwise connectivity they induce ⋮ Matrix Fourier multipliers for Parseval multi-wavelet frames ⋮ Intrinsic \(s\)-elementary Parseval frame multiwavelets in \(L^2(\mathbb R^d)\) ⋮ Characterization and connectivity of generalized filters in \(L^2(\mathbb R^d)\) ⋮ Self-affine scaling sets in ℝ²

Cites Work

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• Basic properties of wavelets
• Wavelet sets in \(\mathbb{R}^ n\)
• Haar type orthonormal wavelet bases in \(R^2\)
• On multiresolution analysis (MRA) wavelets in \(\mathbb{R}^n\)
• On a class of bidimensional nonseparable wavelet multipliers
• A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\)
• Parseval frame wavelets with \(E_{n}^{(2)}\)-dilations
• Ten Lectures on Wavelets
• Wandering vectors for unitary systems and orthogonal wavelets
• The s-elementary wavelets are path-connected

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