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The construction of a class of trivariate nonseparable compactly supported orthogonal wavelets

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  • Huang, Yongdong
  • Lei, Chongmin
  • Yang, Miao

Abstract

In this paper, under a mild condition, the construction of compactly supported orthogonal 1-100-1-1110-wavelets is obtained. Wavelets inherit the symmetry of the corresponding scaling function and satisfy the vanishing moment condition originating in the symbols of the scaling function. An example is also given to demonstrate the general theory.

Suggested Citation

  • Huang, Yongdong & Lei, Chongmin & Yang, Miao, 2009. "The construction of a class of trivariate nonseparable compactly supported orthogonal wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1530-1537.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1530-1537
    DOI: 10.1016/j.chaos.2007.09.035
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "A guide to the mathematics of E-infinity Cantorian spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 955-964.
    2. Svozil, Karl, 2005. "Computational universes," Chaos, Solitons & Fractals, Elsevier, vol. 25(4), pages 845-859.
    3. Huang, Yongdong & Cheng, Zhengxing & Yang, Jianwei, 2007. "Design of compactly supported trivariate orthogonal wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1440-1449.
    4. El Naschie, M.S., 2006. "Hilbert space, the number of Higgs particles and the quantum two-slit experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 9-13.
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