JOURNAL ARTICLE

Nonhomogeneous wavelet dual superframes for reducing subspace of vector-valued Sobolev space on half of the real line.

  • Published In: International Journal of Wavelets, Multiresolution & Information Processing, 2025, v. 23, n. 4. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Zhang, Yan; Hu, Hai-Yang 3 of 3

Abstract

The superframe theory defined on half of the real line ℝ + = [ 0 , ∞) has extensive applications in multiplexing-based fields. Due to ℝ + forming a group under Walsh addition "⊕", a "⊕"-based Walsh wavelet analysis has potential advantages over classical wavelet analysis. This paper addresses (weak) nonhomogeneous wavelet dual superframes for Walsh-reducing subspace of vector-valued Sobolev space ℋ s (ℝ + , ℂ L) with s ∈ ℝ and L ∈ ℕ. We, in this paper, characterize Walsh-reducing subspace of ℋ s (ℝ + , ℂ L) and its (weak) nonhomogeneous wavelet dual superframes in the framework of Walsh wavelet analysis. Also some examples are provided. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Wavelets, Multiresolution & Information Processing. 2025/07, Vol. 23, Issue 4, p1
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2025
  • ISSN:0219-6913
  • DOI:10.1142/S0219691325500092
  • Accession Number:186133616
  • Copyright Statement:Copyright of International Journal of Wavelets, Multiresolution & Information Processing is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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