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Translation invariance of orthogonal multiresolution analyses of \(L^2(\mathbf R)\)

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Publication:1582140
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DOI10.1006/acha.2000.0311zbMath0979.42017OpenAlexW2075139263MaRDI QIDQ1582140

A. Bastys

Publication date: 5 February 2002

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.2000.0311

zbMATH Keywords

multiresolution analysistranslation invarianceorthonormal scaling function


Mathematics Subject Classification ID

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


Related Items

A sharp Balian-Low uncertainty principle for shift-invariant spaces, Maximal discrepancy for multiply generated shift-invariant spaces, Non-translation-invariance and the synchronization problem in wavelet sampling



Cites Work

  • Control of frequency spreading of wavelet packets
  • Translation and dilation invariance in orthogonal wavelets
  • Orthonormal bases of compactly supported wavelets
  • Ten Lectures on Wavelets
  • Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
  • Wavelets and Dilation Equations: A Brief Introduction
  • Unnamed Item
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