Characterization of compactly supported refinable splines whose shifts form a Riesz basis

DOI10.1016/j.jat.2004.12.015zbMath1077.42022OpenAlexW2081311901MaRDI QIDQ1772704

Yuan Yan Tang, Yujing Guan, Lü, Shuwang

Publication date: 21 April 2005

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.12.015

zbMATH Keywords

Riesz basisrefinementcompact supportbox splinemultivariate spline

Mathematics Subject Classification ID

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

Related Items (3)

Refinement equations and spline functions ⋮ Stable parameterization of continuous and piecewise-linear functions ⋮ Characterization of compactly supported refinable splines with integer matrix

Cites Work

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• B-splines from parallelepipeds
• Translates of multivariate splines
• Local linear independence of the translates of a box spline
• Characterization of compactly supported refinable splines
• Refinable functions with compact support
• Stability of the shifts of global supported distributions

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