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New generalization of orthogonal wavelet bases

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Publication:643844
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DOI10.1134/S0081543811050130zbMath1229.42042OpenAlexW2046140991MaRDI QIDQ643844

E. A. Pleshcheva

Publication date: 2 November 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543811050130


zbMATH Keywords

multiresolution analysisscaling functionsgeneralization of wavelets


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for trigonometric approximation and interpolation (65T40)


Related Items (3)

Approximation of functions by \(n\)-separate wavelets in the spaces \(L^p(\mathbb{R})\), \(1 \leq p \leq \infty \) ⋮ Reproducing solutions to PDEs by scaling functions ⋮ Biorthogonal bases of spaces of an \(n\)-separate multiresolution analysis and multiwavelets




Cites Work

  • On the construction of multivariate (pre)wavelets
  • Multiwavelets: Regularity, Orthogonality, and Symmetry via Two–Scale Similarity Transform




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