Local linear independence of the translates of a box spline

DOI10.1007/BF01890029zbMath0586.41007MaRDI QIDQ1071975

Rong-Qing Jia

Publication date: 1985

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

zbMATH Keywords

distributionbox spline

Mathematics Subject Classification ID

Multidimensional problems (41A63) Spline approximation (41A15) Linear transformations, semilinear transformations (15A04)

Related Items

Quasi-interpolants associated with \(H\)-splines on a three-direction mesh, The zonotopal algebra of the broken wheel graph and its generalization, Linear independence of the translates of an exponential box spline, Multivariate Discrete Splines and Linear Diophantine Equations, Surface compression, Phaseless sampling and reconstruction of real-valued signals in shift-invariant spaces, Characterization of compactly supported refinable splines whose shifts form a Riesz basis, Linear independence of the integer translates of compactly supported distributions and refinable vectors, Stable phaseless sampling and reconstruction of real-valued signals with finite rate of innovation, A Bernstein-type inequality associated with wavelet decomposition, Linear independence of pseudo-splines, Properties of locally linearly independent refinable function vectors, Stability of the shifts of a finite number of functions, Translates of Exponential Box Splines and their Related Spaces, Interpolatory subdivision schemes induced by box splines, Completeness characterization of type-I box splines

Cites Work

• Unnamed Item
• B-splines from parallelepipeds
• Linear independence of translates of a box spline
• Bivariate box splines and smooth pp functions on a three direction mesh
• Translates of multivariate splines
• Approximation by Smooth Multivariate Splines