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Construction of multivariate frames using the polyphase method

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Publication:509155
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DOI10.1134/S0001434616090194zbMath1362.42065OpenAlexW2535642777MaRDI QIDQ509155

Maria A. Skopina, Aleksandr Krivoshein

Publication date: 9 February 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616090194


zbMATH Keywords

order of approximationdual frametight frame\(H\)-symmetrywavelet function


Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)


Related Items

Lagrange-Sturm-Liouville processes ⋮ On the convergence of generalizations of the sinc approximations on the Privalov–Chanturia class



Cites Work

  • Unnamed Item
  • Approximation by frame-like wavelet systems
  • Symmetry property and construction of wavelets with a general dilation matrix
  • Symmetric orthonormal complex wavelets with masks of arbitrarily high linear-phase moments and sum rules
  • On construction of multivariate wavelet frames
  • Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
  • Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix
  • Construction of symmetric orthogonal bases of wavelets and tight wavelet frames with integer dilation factor
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