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Standard pairs and construction of multiwavelets using refinement masks satisfying sum rules of order one

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Publication:6137201
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DOI10.1142/s0219691322500606MaRDI QIDQ6137201

K. Murugesan, P. Poornima

Publication date: 1 September 2023

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)


zbMATH Keywords

multiwaveletrefinable function vectorstandard pairsum rules of order one


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)




Cites Work

  • Matrix refinement equations: existence and uniqueness
  • Construction of multiscaling functions using the inverse representation theorem of matrix polynomials
  • Multiwavelets: Regularity, Orthogonality, and Symmetry via Two–Scale Similarity Transform
  • Construction of symmetric multiwavelets using standard pairs
  • Standard pairs and existence of symmetric multiscaling functions
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