基于MRA的流形小波双框架刻画  

Bi-framelets MRA-based characterizations on manifolds

作　　者：吴巧云 刘佳乐 崔丽鸿[1] WU QiaoYun, LIU JiaLe, CUI LiHong(Faculty of Science, Beijing University of Chemical Technology, Beijing 100029, Chin)

机构地区：[1]北京化工大学理学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2018年第2期105-108,共4页Journal of Beijing University of Chemical Technology(Natural Science Edition)

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.

关 键 词：多分辨分析(MRA) 小波双框架 流形正交基 紧致黎曼流形 Laplace-Beltrami算子 

分 类 号：O29[理学—应用数学]