Translates of Exponential Box Splines and their Related Spaces

DOI10.2307/2000933zbMath0718.41014OpenAlexW4237730506MaRDI QIDQ5749753

Asher Ben-Artzi, Amos Ron

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000933

zbMATH Keywords

EB-splinesExponential box splines

Mathematics Subject Classification ID

Multidimensional problems (41A63) Spline approximation (41A15)

Related Items

Variations on the fundamental principle for linear systems of partial differential and difference equations with constant coefficients, Exponential box splines, On polynomial ideals of finite codimension with applications to box spline theory, On the convolution of a box spline with a compactly supported distribution: The exponential-polynomials in the linear span, Linear independence of the translates of an exponential box spline, Multivariate Discrete Splines and Linear Diophantine Equations, Regularity of non-stationary subdivision: a matrix approach, Remarks on the linear independence of integer translates of exponential box splines, Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix, Zonotopal algebra, Local Approximation by Certain Spaces of Exponential Polynomials, Approximation Order of Exponential Box Splines, and Related Interpolation Problems, A dual basis for the integer translates of an exponential box spline, The Approximation Order of Box Spline Spaces, Relations between the support of a compactly supported function and the exponential-polynomials spanned by its integer translates, Characterizations of multivariate differences and associated exponential splines, Hierarchical zonotopal spaces, Optimal control of dynamic systems: application to spline approximations, Factorization theorems for univariate splines on regular grids, Concerning the linear dependence of integer translates of exponential box splines, Splines, lattice points, and arithmetic matroids

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