Riesz multiwavelet bases generated by vector refinement equation

DOI10.1007/s11425-008-0118-8zbMath1176.42028OpenAlexW2355517820MaRDI QIDQ1042907

Song Li, Zhi Song Liu

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0118-8

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Iteration theory, iterative and composite equations (39B12) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (4)

Vector cascade algorithms with infinitely supported masks in weighted \(L_2\)-spaces ⋮ Small support spline Riesz wavelets in low dimensions ⋮ Quasi-interpolatory refinable functions and construction of biorthogonal wavelet systems ⋮ Intrinsic \(s\)-elementary Parseval frame multiwavelets in \(L^2(\mathbb R^d)\)

Cites Work

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• A stability criterion for biorthogonal wavelet bases and their related subband coding scheme
• Stability of the shifts of a finite number of functions
• Shift-invariant spaces and linear operator equations
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• Compactly supported wavelet bases for Sobolev spaces
• Symmetric MRA tight wavelet frames with three generators and high vanishing moments
• Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix
• Biorthogonal wavelet bases on \(\mathbb{R}^ d\)
• A study of orthonormal multi-wavelets
• A new technique to estimate the regularity of refinable functions
• Riesz multiwavelet bases
• Bessel sequences in Sobolev spaces
• Biorthogonal multiple wavelets generated by vector refinement equation
• Characterization of Riesz bases of wavelets generated from multiresolution analysis
• Ten Lectures on Wavelets
• Vector subdivision schemes and multiple wavelets
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• On linear independence for integer translates of a finite number of functions
• Multiresolution and wavelets
• Multivariate Compactly Supported Fundamental Refinable Functions, Duals, and Biorthogonal Wavelets

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