| 正交对称平衡多尺度函数的构造 |
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| 引用本文： | 杨守志,刘华伟.正交对称平衡多尺度函数的构造[J].汕头大学学报(自然科学版),2007,22(2):18-23. |
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| 作者姓名： | 杨守志 刘华伟 |
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| 作者单位： | 汕头大学数学系,广东,汕头,515063 |
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| 摘 要： | 讨论一类3-系数,4-系数和5-系数的两尺度加细方程特殊解的存在性,证明3-系数和5-系数两尺度加细方程的解不可能是正交对称平衡的多尺度函数,而对4-系数的两尺度加细方程而言,存在两个正交对称平衡的多尺度函数解.建立构造正交对称平衡的多尺度函数的算法,并给出构造算例.
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| 关 键 词： | 多尺度函数 对称 正交 平衡 |
| 文章编号： | 1001-4217（2007）02-0018-06 |
| 收稿时间： | 2006-12-25 |
| 修稿时间： | 2006-12-25 |
Construction of Orthogonal Symmetric Balanced Multiscaling Functions |
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| YANG Shou-zhi,LIU Hua-wei.Construction of Orthogonal Symmetric Balanced Multiscaling Functions[J].Journal of Shantou University(Natural Science Edition),2007,22(2):18-23. |
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| Authors: | YANG Shou-zhi LIU Hua-wei |
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| Institution: | Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China |
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| Abstract: | The existence of particular solutions of a class of refinable equations with 3, 4, 5 coefficient matrices is considered. It is proved that solution of the refinable equations with 3 or 5 coefficients which are studied in this paper does not exist. For refinable equations with 4-coefficient, two orthogonal symmetric balanced solutions exist. A construction algorithm for orthogonal balanced symmetric multiscaling functions is obtained. An example is given. |
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| Keywords: | multiscaling function symmetric orthogonal balanced |
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