On polynomial ideals of finite codimension with applications to box spline theory
From MaRDI portal
Publication:1176167
DOI10.1016/0022-247X(91)90275-5zbMath0743.41013OpenAlexW1963813458MaRDI QIDQ1176167
Publication date: 25 June 1992
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(91)90275-5
Multidimensional problems (41A63) Spline approximation (41A15) Approximations and expansions (41A99)
Related Items
Zonotopal algebra and forward exchange matroids, FINITE SETS OF AFFINE POINTS WITH UNIQUE ASSOCIATED MONOMIAL ORDER QUOTIENT BASES, On regularity of generalized Hermite interpolation, Flat extension and ideal projection, Variations on the fundamental principle for linear systems of partial differential and difference equations with constant coefficients, On Symbolic Computation of Ideal Projectors and Inverse Systems, On one class of Hermite projectors, On linear independence for integer translates of a finite number of functions, One Characterization of Lagrange Projectors, An algorithm for the discretization of an ideal projector, What do real ideal projectors interpolate?, The discretization for a special class of ideal projectors, Gröbner bases, H–bases and interpolation, Classification of external zonotopal algebras, EXTERNAL ZONOTOPAL ALGEBRA, Kernels of discrete convolutions and application to stationary subdivision operators, Bivariate ideal projectors and their perturbations, Zonotopal algebra, On non-existence of certain error formulas for ideal interpolation, On simultaneous block-diagonalization of cyclic sequences of commuting matrices, On simultaneous block-diagonalization of cyclic sequences of commuting matrices, On a conjecture of Tomas Sauer regarding nested ideal interpolation, On a problem of Pinkus and Wajnryb regarding density of multivariate polynomials, Hierarchical zonotopal spaces, The least solution for the polynomial interpolation problem
Cites Work
- Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
- B-splines from parallelepipeds
- On multivariate E-splines
- On multivariate polynomial interpolation
- On the local linear independence of translates of a box spline
- Local Approximation by Certain Spaces of Exponential Polynomials, Approximation Order of Exponential Box Splines, and Related Interpolation Problems
- Translates of Exponential Box Splines and their Related Spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
