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A characteristic description of orthonormal wavelet on subspace LE2(R) of L2(R)

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  • Zhu, Xiuge
  • Wu, Guochang

Abstract

The exceptional Lie groups are applicable to nature because nature is essentially a Cantorian and hierarchal fractal with an octionic connection. In this paper, inspired by these theory, a characterization of orthonormal wavelet on subspace LE2(R) of L2(R) is given. The result covers known conclusion on Hardy space H2(R).

Suggested Citation

  • Zhu, Xiuge & Wu, Guochang, 2009. "A characteristic description of orthonormal wavelet on subspace LE2(R) of L2(R)," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2484-2490.
  • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2484-2490
    DOI: 10.1016/j.chaos.2008.09.048
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 39-42.
    2. El Naschie, M.S., 2008. "Symmetry group prerequisite for E-infinity in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 202-211.
    3. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    4. 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.
    5. El Naschie, M.S., 2008. "Notes on exceptional lie symmetry groups hierarchy and possible implications for E-Infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 67-70.
    6. 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.
    7. El Naschie, M.S., 2007. "SO(10) grand unification in a fuzzy setting," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 958-961.
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