Some characterizations for box spline wavelets and linear diophantine equations
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1539-1560 |
| Journal / Publication | Rocky Mountain Journal of Mathematics |
| Volume | 28 |
| Issue number | 4 |
| Publication status | Published - Dec 1998 |
Link(s)
Abstract
Box splines are investigated from the point of view of wavelets. Some characterizations concerning linear independence of integer translates of Box splines are presented in terms of the defining matrices. It is shown that a direct extension of a criterion for linear independence of refinable functions in the univariate case to the multivariate case holds for the Box spline MΞ in Rs when rankΞ = s while not any more when rank Ξ <s.
Research Area(s)
- Box spline wavelets, Linear diophantine equations, Linear independence, Refinement equation
Citation Format(s)
Some characterizations for box spline wavelets and linear diophantine equations. / Zhou, Ding-Xuan.
In: Rocky Mountain Journal of Mathematics, Vol. 28, No. 4, 12.1998, p. 1539-1560.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
