| n维特殊伸缩矩阵的构造与n维广义插值细分函数向量 |
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| 引用本文： | 王刚,周小辉,王宝勤. n维特殊伸缩矩阵的构造与n维广义插值细分函数向量[J]. 计算数学, 2013, 35(4): 377-384 |
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| 作者姓名： | 王刚 周小辉 王宝勤 |
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| 作者单位： | 1. 新疆师范大学数学科学学院, 乌鲁木齐 830054;2. 石河子大学理学院数学系, 新疆石河子 832061 |
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| 基金项目： | 新疆维吾尔自治区高校科研计划青年教师培育基金（XJEDU2009S67）。 |
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| 摘 要： | 本文构造了一种特殊的n维特殊伸缩矩阵，且定义了n维正交广义插值多小波.基于这种特殊的伸缩矩阵，讨论n维正交广义插值多小波的构造算法. 并且最后给出了算例.
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| 关 键 词： | 伸缩矩阵 广义插值 多小波 |
| 收稿时间： | 2013-01-08; |
THE CONSTRUCTION OF n-DIMENSIONAL SPECIAL DILATION MATRIX AND n-DIMENSIONAL GENERALIZED INTERPOLATING REFINABLE FUNCTION VECTOR |
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| Wang Gang,Zhou Xiaohui,Wang Baoqin. THE CONSTRUCTION OF n-DIMENSIONAL SPECIAL DILATION MATRIX AND n-DIMENSIONAL GENERALIZED INTERPOLATING REFINABLE FUNCTION VECTOR[J]. Mathematica Numerica Sinica, 2013, 35(4): 377-384 |
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| Authors: | Wang Gang Zhou Xiaohui Wang Baoqin |
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| Affiliation: | 1. School of mathematical science, XinJiang normal univeisity, Urumqi 830054, China;2. Department of Mathematics, Polytechnic Institute of Shihezi University, Shihezi 832003, China |
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| Abstract: | In this paper, a special kind of n-dimensional special dilation matrix is constructed, And the n-dimensional orthogonal generalized interpolating wavelet is defined. Based on this special dilation matrix, the n-dimensional orthogonal generalized interpolating wavelet construction algorithm is disscussed. At last an example is given. |
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| Keywords: | dilation matrix generalized interpolation multiwavelet |
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