A characterization of compactly supported both \(m\) and \(n\) refinable distributions

DOI10.1006/jath.1998.3303zbMath0942.42023OpenAlexW2009963206MaRDI QIDQ1300154

Qiyu Sun, Ze Yin Zhang

Publication date: 7 September 1999

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

Full work available at URL: https://doi.org/10.1006/jath.1998.3303

zbMATH Keywords

linear independence\(B\)-splinerefinable distributioncompactly supported distribution

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Operations with distributions and generalized functions (46F10) Spline approximation (41A15)

Related Items (6)

Compactly supported multi-refinable distributions and \(B\)-splines ⋮ Structure of refinable splines ⋮ A class of compactly supported refinable componentwise constant functions in \(\mathbb R^2\) ⋮ An algebraic characterization of B-splines ⋮ Eigenvalues of scaling operators and a characterization of $B$-splines ⋮ Componentwise polynomial solutions and distribution solutions of refinement equations

Cites Work

• Unnamed Item
• Factorization theorems for univariate splines on regular grids
• Translates of multivariate splines
• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• Characterization of compactly supported refinable splines
• How smooth is the smoothest function in a given refinable space?
• Refinable functions with compact support
• Stationary subdivision
• Ten Lectures on Wavelets

This page was built for publication: A characterization of compactly supported both \(m\) and \(n\) refinable distributions