Connectivity of wavelets

doi:10.3868/s140-DDD-023-0009-x

Front. Math. China

2023, Vol. 18

Issue (2) : 95-104 https://doi.org/10.3868/s140-DDD-023-0009-x

SURVEY　ARTICLE

Connectivity of wavelets

Dengfeng LI(

)

School of Mathematics and Physics Science, Wuhan Textile University, Wuhan 430200, China

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Abstract

In this paper, path-connectivity of the set of some special wavelets in $L 2 (R)$ , 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.

Keywords Wavelet MRA wavelet S–elementary wavelet frame wavelet path-connectivity

About author:

Peng Lei and Charity Ngina Mwangi contributed equally to this work.

Online First Date: 19 October 2023 Issue Date: 13 November 2023

Cite this article:

Dengfeng LI. Connectivity of wavelets[J]. Front. Math. China, 2023, 18(2): 95-104.

URL:

https://academic.hep.com.cn/fmc/EN/10.3868/s140-DDD-023-0009-x
https://academic.hep.com.cn/fmc/EN/Y2023/V18/I2/95

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