摘要
研究了光滑紧致黎曼流形多尺度表示系统——小波双框架的构造和刻画。具体地,给定经典小波框架生成集和流形正交基,实现了流形平方可积空间中一列框架小波系统对双框架性质的刻画。
This work investigates the construction and characterizations of muhiscale representation systems, namely bi-framelets on a smooth and compact Riemannian manifold. Specifically, given classical framelet generating sets and an orthonomal basis on a manifold, characterizations of the bi-framelet of a sequence of framelet system pairs are provided for the space of square integrable functions on a manifold.
作者
吴巧云
刘佳乐
崔丽鸿
WU QiaoYun, LIU JiaLe, CUI LiHong(Faculty of Science, Beijing University of Chemical Technology, Beijing 100029, Chin)
出处
《北京化工大学学报(自然科学版)》
CAS
CSCD
北大核心
2018年第2期105-108,共4页
Journal of Beijing University of Chemical Technology(Natural Science Edition)