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Smoothness of rank \(M\) scaling functions

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Publication:1867374
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DOI10.1016/S1063-5203(02)00502-XzbMath1011.42016MaRDI QIDQ1867374

Fumio Maitani, Hiroyuki Ôkura, Akira Nakaoka, Tatsuhiko Yagasaki

Publication date: 2 April 2003

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


zbMATH Keywords

waveletssmoothnessscaling functionstransfer operatorSobolev regularity


Mathematics Subject Classification ID

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





Cites Work

  • Unnamed Item
  • Sobolev exponent estimate and asymptotic regularity of the \(M\)-band Daubechies' scaling functions
  • More regular wavelets
  • Matrix Analysis
  • Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
  • Ten Lectures on Wavelets
  • Energy Moments in Time and Frequency for Two-Scale Difference Equation Solutions and Wavelets
  • Sobolev Characterization of Solutions of Dilation Equations
  • Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
  • Rank M Wavelets with N Vanishing Moments
  • Asymptotic Regularity of Compactly Supported Wavelets
  • Theory of regular M-band wavelet bases
  • Orthonormal compactly supported wavelets with optimal Sobolev regularity: Numerical results




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