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<p>Wavelets on the spaces of <i>M</i>-positive vectors are studied. Such a space is a multidimensional analog of the half-line in Walsh analysis. Similarly to the half-line, in this spaces there exists a class of compactly supported test functions having compactly supported Fourier transforms. Wavelet frames consisting of the test functions are of special interest because they may be useful for applications to signal processing. The paper suggests a method of constructing dual wavelet frames of such a type. Bibliography: 12 titles.</p>

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WAVELET FRAMES ON THE SETS OF M-POSITIVE VECTORS

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • M. V. Babushkin,
  • M. A. Skopina

摘要

Wavelets on the spaces of M-positive vectors are studied. Such a space is a multidimensional analog of the half-line in Walsh analysis. Similarly to the half-line, in this spaces there exists a class of compactly supported test functions having compactly supported Fourier transforms. Wavelet frames consisting of the test functions are of special interest because they may be useful for applications to signal processing. The paper suggests a method of constructing dual wavelet frames of such a type. Bibliography: 12 titles.