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Multivariate Discrete Splines and Linear Diophantine Equations
| Content Provider | Scilit |
|---|---|
| Author | Jia, Rong-Qing |
| Copyright Year | 1993 |
| Description | 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. |
| Related Links | https://www.ams.org/tran/1993-340-01/S0002-9947-1993-1159194-6/S0002-9947-1993-1159194-6.pdf |
| Ending Page | 198 |
| Page Count | 20 |
| Starting Page | 179 |
| ISSN | 00029947 |
| e-ISSN | 10886850 |
| DOI | 10.2307/2154551 |
| Journal | Transactions of the American Mathematical Society |
| Issue Number | 1 |
| Volume Number | 340 |
| Language | English |
| Publisher | Duke University Press |
| Publisher Date | 1993-11-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Physics Discrete Splines Linear Diophantine Equations Multivariate Discrete Structure |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
