中文摘要：

基于L2（R）上的紧支撑正交多尺度函数和多小波的构造思想与方法,探讨了任意支撑长度γ的a尺度r重区间多小波系统的构造理论与性质.给出了区间[0,1]上a尺度r重正交多小波的构造方法,得到了区间多小波的参数化表示;并且给出区间多小波的构造算例.

英文摘要：

Based on the method and constructional idea of tight supported orthogonal multiscaling function and multiwavelets on L2（R）,we study the properties and constructional theories with any tight supported γ,multiplicity r and dilation a on the interval.We introduce the constructional thought of orthogonal multiwavelets with multiplicity r and dilation a on the interval [0,1]and obtain the parametric expressions of interval multiwavelets.Inaddition,we propose the construction examples of interval multiwavelets.