超小波发展综述 A survey of developments of super-wavelets

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从问题发展的角度 ,论述了超小波在理论数学中的发展及其成果 ,简介了规范紧框架小波 扩展为超小波的性质以及利用仿射结构构造超小波的方法 ,给出了一些公开问题 ,指出了新的研究 方向. 超小波是基于小波分析基础上的信号分析方法 ,关于规范紧框架小波扩展成超小波已经得到 了一些重要结果 ,但是规范紧框架小波扩展为超小波的充分和必要条件还是一个公开问题 ,而且关 于 MRA 超小波的一些重要方面也是公开的

Author(s): 李万社 王凤兰

Language: Chinese
City: 西安