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The characterization of a class of subspace pseudoframes with arbitrary real number translations

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  • Chen, Qingjiang
  • Shi, Zhi
  • Cao, Huaixin

Abstract

In this article, the notion of generalized multiresolution structure is introduced. The concept of subspace pseudoframes with arbitrary real number translations is proposed. A new method for constructing a generalized multiresolution structure in Paley–Wiener subspace of L2(R) is presented. A pyramid decomposition scheme is established based on such a generalized multiresolution structure. Finally, affine frames of space L2(R) with arbitrary real number translations are obtained by virtue of the subspace pseudoframes and the pyramid decomposition scheme. Relation to some physical theories such as quarks confinement is also investigated.

Suggested Citation

  • Chen, Qingjiang & Shi, Zhi & Cao, Huaixin, 2009. "The characterization of a class of subspace pseudoframes with arbitrary real number translations," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2696-2706.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:2696-2706
    DOI: 10.1016/j.chaos.2009.03.176
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    References listed on IDEAS

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    1. El Naschie, M.S., 2008. "Extended renormalizations group analysis for quantum gravity and Newton’s gravitational constant," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 425-431.
    2. Svozil, Karl, 2005. "Computational universes," Chaos, Solitons & Fractals, Elsevier, vol. 25(4), pages 845-859.
    3. El Naschie, M.S., 2008. "On quarks confinement and asymptotic freedom," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1289-1291.
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