Vector cascade algorithms with infinitely supported masks in weighted \(L_2\)-spaces

DOI10.1007/s10114-012-1295-5zbMath1261.42060OpenAlexW2098966921MaRDI QIDQ1944846

Jianbin Yang

Publication date: 28 March 2013

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

Full work available at URL: https://doi.org/10.1007/s10114-012-1295-5

zbMATH Keywords

refinable functionstransition operatorsexponentially decaying masksvector cascade algorithms

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Iteration theory, iterative and composite equations (39B12)

Cites Work

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• Refinable functions with exponential decay: an approach via cascade algorithms
• Regularity of refinable functions with exponentially decaying masks
• Riesz multiwavelet bases generated by vector refinement equation
• A decay theorem for refinable functions
• Regularity of refinable function vectors
• Matrix refinement equations: existence and uniqueness
• Vector cascade algorithms and refinable function vectors in Sobolev spaces
• Convergence of vector subdivision schemes in Sobolev spaces
• A new technique to estimate the regularity of refinable functions
• Criteria for hierachical bases in Sobolev spaces
• \(L_p\)-solutions of vector refinement equations with general dilation matrix
• Biorthogonal multiple wavelets generated by vector refinement equation
• Vector refinement equations with infinitely supported masks
• Characterization of Riesz bases of wavelets generated from multiresolution analysis
• Wavelets from the loop scheme
• Refinable Functions and Cascade Algorithms in Weighted Spaces with Hölder Continuous Masks
• Vector subdivision schemes and multiple wavelets
• Multivariate matrix refinable functions with arbitrary matrix dilation
• Numerical Analysis for Statisticians
• Wavelets and recursive filter banks
• Refinable Function Vectors
• Fractional Splines and Wavelets

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