Some properties of five-coefficient refinement equation

DOI10.1007/BF01207831zbMath0854.42024MaRDI QIDQ1924910

Qiyu Sun, Daren Huang, Xin-Rong Dai

Publication date: 5 January 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

waveletsmultiresolutionrefinement equationlocal linear independenceglobal linear independence

Mathematics Subject Classification ID

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

Related Items (4)

Total positivity and refinable functions with general dilation ⋮ Linear independence of the integer translates of compactly supported distributions and refinable vectors ⋮ \(M\)-band scaling function with filter having vanishing moments two and minimal length ⋮ Componentwise polynomial solutions and distribution solutions of refinement equations

Cites Work

• Unnamed Item
• A note on the integer translates of a compactly supported distribution on \(\mathbb{R}\)
• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• On the Integer Translates of a Compactly Supported Function: Dual Bases and Linear Projectors

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