Relations between the support of a compactly supported function and the exponential-polynomials spanned by its integer translates

DOI10.1007/BF01889354zbMath0685.41012OpenAlexW2070406949MaRDI QIDQ1826056

Amos Ron

Publication date: 1990

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01889354

zbMATH Keywords

polynomial box spline

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Spline approximation (41A15)

Related Items

Factorization theorems for univariate splines on regular grids

Cites Work

• B-splines from parallelepipeds
• The polynomials in the linear span of integer translates of a compactly supported function
• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• Local Approximation by Certain Spaces of Exponential Polynomials, Approximation Order of Exponential Box Splines, and Related Interpolation Problems
• On the Solution of Certain Systems of Partial Difference Equations and Linear Dependence of Translates of Box Splines
• Translates of Exponential Box Splines and their Related Spaces