Connectivity of wavelets

Frontiers of Mathematics in China（2023）

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摘要

In this paper,path-connectivity of the set of some special wavelets in L2(R),which is the topological geometric property of wavelets,is introduced.In particular,the main progress of wavelet connectivity in the past twenty years is reviewed and some unsolved problems are listed.The corresponding results of high dimension case and other cases are also briefly explained.

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关键词

Wavelet,MRA wavelet,S-elementary wavelet,frame wavelet,path-connectivity

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