| POLY-SCALE REFINABLE FUNCTION AND THEIR PROPERTIES |
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| 作者姓名： | 杨守志 |
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| 作者单位： | Department of |
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| 基金项目： | Project supported by the Natural Science Foundation of Guangdong Province (Nos.032038, 05008289, 06105648)
the Doctoral Foundation of Guangdong Province (No.04300917) |
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| 摘 要： | Poly-scale refinable function with dilation factor a is introduced. The existence of solution of poly-scale refinable equation is investigated. Specially, necessary and sufficient conditions for the orthonormality of solution functionφof poly-scale refinable equation with integer dilation factor a are established. Some properties of poly-scale re-finable function are discussed. Several examples illustrating how to use the method to construct poly-scale refinable function are given.
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| 关 键 词： | 功能 插值论 方程式 数学 |
| 收稿时间： | 2004-11-16 |
| 修稿时间： | 2006-08-18 |
Poly-scale refinable function and their properties |
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| Shou-zhi Yang Doctor.POLY-SCALE REFINABLE FUNCTION AND THEIR PROPERTIES[J].Applied Mathematics and Mechanics(English Edition),2006,27(12):1687-1695. |
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| Authors: | Shou-zhi Yang Doctor |
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| Institution: | Department of Mathematics, Shantou University, Shantou,515063, Guangdong Province, P. R. China |
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| Abstract: | Poly-scale refinable function with dilation factor a is introduced. The existence of solution of poly-scale refinable equation is investigated. Specially, necessary and sufficient
conditions for the orthonormality of solution function ϕ of poly-scale refinable equation with integer dilation factor a are established. Some properties of poly-scale refinable function are discussed. Several examples illustrating how to use
the method to construct poly-scale refinable function are given.
Project supported by the Natural Science Foundation of Guangdong Province (Nos. 032038, 05008289, 06105648) and the Doctoral
Foundation of Guangdong Province (No.04300917) |
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| Keywords: | poly-scale function dilation factor poly-scale functional equation |
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