基于MRA的流形小波双框架刻画

Bi-framelets MRA-based characterizations on manifolds

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.