## 留言板

 引用本文: 杨守志. 多-尺度加细函数及其性质的研究[J]. 应用数学和力学, 2006, 27(12): 1477-1485.
YANG Shou-zhi. Poly-Scale Refinable Function and Their Properties[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1477-1485.
 Citation: YANG Shou-zhi. Poly-Scale Refinable Function and Their Properties[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1477-1485.

## 多-尺度加细函数及其性质的研究

###### 作者简介:杨守志(1963- ),男,河南罗山人,教授,博士,博士生导师(联系人.Tel:+86-754-2903742;Fax:+86-754-2903947;E-mail:szyang@stu.edu.cn).
• 中图分类号: O174.42

## Poly-Scale Refinable Function and Their Properties

• 摘要: 引入伸缩因子为a的多-尺度加细函数和平移不变子空间的概念．研究了多-尺度加细方程解存在的条件．特别地,给出这种方程的解是正交的充分必要条件．建立了多-尺度加细函数与两尺度加细函数之间的关系．并讨论了它们的一些性质．最后给出相应的构造算例．
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##### 出版历程
• 收稿日期:  2004-11-16
• 修回日期:  2006-08-18
• 刊出日期:  2006-12-15

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