A construction of multiresolution analysis on interval

DOI10.1007/s10114-005-0772-5zbMath1116.42008OpenAlexW2015027615MaRDI QIDQ2641533

Di-Rong Chen, Dao-Hong Xiang

Publication date: 20 August 2007

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0772-5

zbMATH Keywords

multiresolution analysisrefinable functionapproximation ordersubdivision operator

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Spline approximation (41A15)

Related Items (1)

Some sufficient conditions for convergent multivariate subdivision schemes with nonnegative finite masks

Cites Work

• Unnamed Item
• Algebraic properties of subdivision operators with matrix mask and their applications
• Wavelets on the interval and fast wavelet transforms
• Approximation order provided by refinable function vectors
• Convergence of vector subdivision schemes in Sobolev spaces
• Orthonormal bases of compactly supported wavelets
• Stationary subdivision
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• On linear independence for integer translates of a finite number of functions
• Multiscale decompositions on bounded domains

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