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Characterization of compactly supported refinable splines with integer matrix |
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| Authors: | Yujing Guan Tian-Xiao He |
| Institution: | 1. School of Mathematics , Jilin University , Changchun, Jilin 130023, PR China guanyj@jlu.edu.cn;3. Department of Mathematics and Computer Science , Illinois Wesleyan University , Bloomington, IL 61702-2900, USA |
| Abstract: | Let M be an integer matrix with absolute values of all its eigenvalues being greater than 1. We give a characterization of compactly supported M-refinable splines f and the conditions that the shifts of f form a Riesz basis. |
| Keywords: | spline refinement blockwise polynomial Riesz basis simplex decomposition |