Linear independence of translates of a box spline
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Publication:790374
DOI10.1016/0021-9045(84)90026-1zbMath0534.41008OpenAlexW2017419361MaRDI QIDQ790374
Publication date: 1984
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(84)90026-1
Related Items (25)
An example of bivariate interpolation with translates of \(C^ 0\)- quadratic box-splines on a three direction mesh ⋮ Attenuation factors in multivariate Fourier analysis ⋮ On the linear independence of integer translates of box splines with rational directions ⋮ On linear independence for integer translates of a finite number of functions ⋮ Cardinal Hermite interpolation with box splines ⋮ A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution ⋮ Multiresolution and wavelets ⋮ On linear independence of integer shifts of compactly supported distributions ⋮ Approximation and interpolation by complex splines on the torus ⋮ Linear independence of the translates of an exponential box spline ⋮ Multivariate Discrete Splines and Linear Diophantine Equations ⋮ Remarks on the linear independence of integer translates of exponential box splines ⋮ Generalized cardinal B-splines: Stability, linear independence, and appropriate scaling matrices ⋮ Symmetric magic squares and multivariate splines ⋮ A dual basis for the integer translates of an exponential box spline ⋮ Linear independence of pseudo-splines ⋮ Cardinal interpolation, submodules and the 4-direction mesh ⋮ Translates of Exponential Box Splines and their Related Spaces ⋮ Interpolatory subdivision schemes induced by box splines ⋮ Stability and independence for multivariate refinable distributions ⋮ Some characterizations for box spline wavelets and linear Diophantine equations ⋮ Completeness characterization of type-I box splines ⋮ Discrete box splines and refinement algorithms ⋮ Concerning the linear dependence of integer translates of exponential box splines ⋮ Local linear independence of the translates of a box spline
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