Approximation Theory and its Applications

, Volume 11, Issue 4, pp 45–50 | Cite as

Wavelet transform associated to the affine group AG m p

  • Qianqing Qin
  • Nengchao Wang


This paper considers wavelet transforms associated to the affine group, which is more general than the paper given by R. Murenzi, and it seems more important in mathematical theory and more natural to be used to analyze signals in more than 1-dimension.


Analyze Wavelet Wavelet Transform Dilation Operator Admissibility Condition Orthogonal Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Grossman, A. and Morlet, J. Decomposition of Functions into Wavelets of Constant Shapes and Related Transforms (manuscript).Google Scholar
  2. 2.
    Murenzi, R. Wavelet Transforms Associated to then-Dimensional Euclidean Gronp with Dilations: Signal in more than 1-dimension. Springer-Veriag Beriin Herdelberg, 1989–1990, P239–246.Google Scholar
  3. 3.
    Eaton, M. L., Multivariate Statistics, A Vector Space Approach. John Wiley &, Sons, Inc. 1983.Google Scholar
  4. 4.
    Muirhead, R. J. Aspects of Multivariate Statistical Theory. John Wiley & Sons, Inc, 1982.Google Scholar

Copyright information

© Springer 1995

Authors and Affiliations

  • Qianqing Qin
    • 1
  • Nengchao Wang
    • 1
  1. 1.Department of mathematicsHuazhong Umiversity of Science and TechnologyWuhanPRC

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