E小波乘子的某些应用

数学季刊 ›› 2004, Vol. 19 ›› Issue (3): 292-299.

E小波乘子的某些应用

College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

收稿日期:2004-05-26 出版日期:2004-09-30 发布日期:2024-03-13
作者简介:Li Deng-feng(1964-),male,native of Jiyuan,Henan,Ph.D.,a professor of Henan University, engages in wavelet analysis,harmonic analysis and the applications of wavelet in signal processing,image processing and communications.
基金资助:
Supported by the NSF of China(60272042)； Supported by the NSF of Henan University of China(XK03YBJS008)；

Some Applications of E-wavelet Multipliers

College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

Received:2004-05-26 Online:2004-09-30 Published:2024-03-13
About author:Li Deng-feng(1964-),male,native of Jiyuan,Henan,Ph.D.,a professor of Henan University, engages in wavelet analysis,harmonic analysis and the applications of wavelet in signal processing,image processing and communications.
Supported by:
Supported by the NSF of China(60272042)； Supported by the NSF of Henan University of China(XK03YBJS008)；

摘要/Abstract

摘要： Let E=... measurable function v is called an E- waveletmultiplier if (vψ) is an E-wavelet whenever ψ is an E-wavelet. Some characterizations and applications of E-wavelet multiplier were considered in [1]. In this paper, we give some other applications of E-wavelet multiplier, and prove that the set of all MRA E-wavelets is arcwise connected.

关键词: wavelet, wavelet , , , multiplier, multiresolution , , , analysis

Abstract: Let E=... measurable function v is called an E- waveletmultiplier if (vψ) is an E-wavelet whenever ψ is an E-wavelet. Some characterizations and applications of E-wavelet multiplier were considered in [1]. In this paper, we give some other applications of E-wavelet multiplier, and prove that the set of all MRA E-wavelets is arcwise connected.

Key words: wavelet, wavelet , , , multiplier, multiresolution , , , analysis

中图分类号:

O174.2

李登峰, 程俊芳. E小波乘子的某些应用[J]. 数学季刊, 2004, 19(3): 292-299.

LI Deng-feng, CHENG Jun-fang . Some Applications of E-wavelet Multipliers[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(3): 292-299.

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