Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (3): 378-383.

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Classifying R-dual Sequence in the Abstract Frame Theory

  

  1. 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);

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

CLC Number: