高维双向加细方程的L_1-解的刻画  

Characterization of the-solutions of Multi-dimensional Two-direction Refinement Equation

作　　者：延卫军[1] 

机构地区：[1]榆林学院数学与统计学院,陕西榆林719000

出　　处：《榆林学院学报》2015年第2期22-25,36,共5页Journal of Yulin University

基　　金：榆林学院高层次人才科研启动基金(11GK63)

摘　　要：研究了高维双向加细方程的-解,利用傅里叶方法与迭代函数系刻画了-解的基本性质,证明了-解在其紧支撑集上是符号恒定的,完善了双向小波理论。In this paper, we study the - solutions multi - dimensional two characterize the basic properties of -solutions by Fourier transform method ver, we prove that any - solutions of the two - direction refinement equation - direction refinement equation. We and iterated function systems. Moreo- are constant sign on its support. The theory of two - direction wavelet is developed.

关 键 词：高维双向加细方程 -解 傅里叶方法 迭代函数系 

分 类 号：O174.2[理学—数学]