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Irregular wavelet frames onL 2(ℝn)

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Abstract

In this paper, we present the conditions on dilation parameter {s j}j that ensure a discrete irregular wavelet system {s n/2 j ψ(s j ·−bk)}j∈ℤ,k∈ℤ n to be a frame on L2(ℝn), and for the wavelet frame we consider the perturbations of translation parameter b and frame function ψ respectively.

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Authors and Affiliations

  1. Department of Information & Technology, Nankai University, 300071, Tianjin, China

    Deyun Yang

  2. Department of Mathematics, Nankai University, 300071, Tianjin, China

    Deyun Yang & Xingwei Zhou

  3. Department of Computer Science, Taishan College, 271000, Taian, China

    Deyun Yang

Authors
  1. Deyun Yang
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  2. Xingwei Zhou
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Correspondence to Deyun Yang.

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Yang, D., Zhou, X. Irregular wavelet frames onL 2(ℝn). Sci. China Ser. A-Math. 48, 277–287 (2005). https://doi.org/10.1360/03ys0193

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  • DOI: https://doi.org/10.1360/03ys0193

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