Connectivity of wavelets

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

Frontiers of Mathematics in China

2023, Vol. 18

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

本期目录

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.

Key words： Wavelet MRA wavelet S–elementary wavelet frame wavelet path-connectivity

出版日期: 2023-11-13

引用本文:

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

链接本文:

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

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