• 论文 •

### n维特殊伸缩矩阵的构造与n维广义插值细分函数向量

1. 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
• 收稿日期:2013-01-08 出版日期:2013-11-15 发布日期:2013-12-03
• 通讯作者: 周小辉
• 基金资助:

新疆维吾尔自治区高校科研计划青年教师培育基金（XJEDU2009S67）。

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.

### THE CONSTRUCTION OF n-DIMENSIONAL SPECIAL DILATION MATRIX AND n-DIMENSIONAL GENERALIZED INTERPOLATING REFINABLE FUNCTION VECTOR

Wang Gang1, Zhou Xiaohui2, Wang Baoqin1

1. 1. School of mathematical science, XinJiang normal univeisity, Urumqi 830054, China;
2. Department of Mathematics, Polytechnic Institute of Shihezi University, Shihezi 832003, China
• Received:2013-01-08 Online:2013-11-15 Published:2013-12-03

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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