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Multivariate Discrete Splines And Linear Diophantine Equations (1993)
| Content Provider | CiteSeerX |
|---|---|
| Author | Jia, Rong-Qing |
| Abstract | In this paper we investigate the algebraic properties of multivariate discrete splines. It turns out that multivariate discrete splines are closely related to linear diophantine equations. In particular, we use a solvability condition for a system of linear diophantine equations to obtain a necessary and sufficient condition for the integer translates of a discrete box spline to be linearly independent. In order to understand the local structure of discrete splines we develop a general theory for certain systems of linear partial difference equations. Using this theory we prove that the integer translates of a discrete box spline are locally linearly independent if and only if they are linearly independent. |
| File Format | |
| Volume Number | 340 |
| Journal | Trans. Amer. Math. Soc.340:1(1993),179-197 |
| Language | English |
| Publisher Date | 1993-01-01 |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
