A class of bidimensional FMRA wavelet frames

DOI10.1007/s10114-005-0653-yzbMath1129.42442OpenAlexW2110544642WikidataQ57677902 ScholiaQ57677902MaRDI QIDQ2508628

Yun-Zhang Li

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0653-y

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (4)

Multiwavelet sampling theorem in Sobolev spaces ⋮ On the aliasing error in a class of bidimensional wavelet subspaces ⋮ Characterizations of \(g\)-frames and \(g\)-Riesz bases in Hilbert spaces ⋮ Multivariate FMRAs and FMRA frame wavelets for reducing subspaces of \(L^2(\mathbb R^d)\)

Cites Work

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• Meyer type wavelet bases in \(\mathbb R^{2}\)
• The theory of multiresolution analysis frames and applications to filter banks
• Continuity of nonseparable quincunx wavelets
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• Tight frames of multidimensional wavelets
• Classification of integral expanding matrices and self-affine tiles
• On a class of bidimensional nonseparable wavelet multipliers
• On the construction of multivariate (pre)wavelets
• Non-separable bidimensional wavelet bases
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Arbitrarily Smooth Orthogonal Nonseparable Wavelets in $\R^2$
• Compactly supported tight affine spline frames in 𝐿₂(ℝ^{𝕕})
• On the Splitting Trick and Wavelet Frame Packets
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• A theory of generalized multiresolution structure and pseudoframes of translates
• Wavelet transforms and time-frequency signal analysis
• Self-similar lattice tilings

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