在抽象框架理论中刻画R-对偶序列

数学季刊 ›› 2009, Vol. 24 ›› Issue (3): 378-383.

在抽象框架理论中刻画R-对偶序列

1. College of Information and Engineering, Xi'an International University2. Department of Mathematics, Anyang Teachers College3. College of Mathematics and Information Science, Henan University

收稿日期:2005-12-13 出版日期:2009-09-30 发布日期:2023-06-28
作者简介: WU Guo-chang(1970- ), male, native of Lushan, Henan, Ph.D., engaged in wavelet analysis, sampling theorem and frame theory; WANG Lan-feng(1979- ), male, native of Anyang, Henan, M.S.D., a lecturer of Anyang Teachers College, engages in wavelet analysis and frame theory.
基金资助:
Supported by the Science Foundation of Nature(60272042)；

Classifying R-dual Sequence in the Abstract Frame Theory

1. College of Information and Engineering, Xi'an International University2. Department of Mathematics, Anyang Teachers College3. College of Mathematics and Information Science, Henan University

Received:2005-12-13 Online:2009-09-30 Published:2023-06-28
About author: WU Guo-chang(1970- ), male, native of Lushan, Henan, Ph.D., engaged in wavelet analysis, sampling theorem and frame theory; WANG Lan-feng(1979- ), male, native of Anyang, Henan, M.S.D., a lecturer of Anyang Teachers College, engages in wavelet analysis and frame theory.
Supported by:
Supported by the Science Foundation of Nature(60272042)；

摘要/Abstract

摘要： In this paper, two operators are defined, and their underlying properties are found, then the R-dual relationship is classified from the aspect of the operators defined. Furthermore, the commutability of the bases of constructing R-dual sequence is discussed. In particular, SR-dual sequence is defined and is clarified. At last an example is given.

关键词: the frame theory, R-dual sequence, SR-dual sequence, commutability

Abstract: In this paper, two operators are defined, and their underlying properties are found, then the R-dual relationship is classified from the aspect of the operators defined. Furthermore, the commutability of the bases of constructing R-dual sequence is discussed. In particular, SR-dual sequence is defined and is clarified. At last an example is given.

Key words: the frame theory, R-dual sequence, SR-dual sequence, commutability

中图分类号:

O174

吴国昌, 王澜峰, 李登峰. 在抽象框架理论中刻画R-对偶序列[J]. 数学季刊, 2009, 24(3): 378-383.

WU Guo-chang, WANG Lan-feng, LI Deng-feng. Classifying R-dual Sequence in the Abstract Frame Theory[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(3): 378-383.

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