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Sobolev exponent estimate and asymptotic regularity of the \(M\)-band Daubechies' scaling functions

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Publication:1299989
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DOI10.1007/s003659900116zbMath0962.42029OpenAlexW2090162022MaRDI QIDQ1299989

Qiyu Sun

Publication date: 16 January 2000

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003659900116


zbMATH Keywords

regularitySobolev exponentscaling factorDaubechies scaling functionsrefinement equations


Mathematics Subject Classification ID

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


Related Items (6)

d-Refinable (dual) pseudo-splines and their regularities ⋮ On the smoothness of orthonormal wavelets arising from HDAFs ⋮ \(M\)-band Burt-Adelson biorthogonal wavelets ⋮ How smooth is your wavelet? Wavelet regularity via thermodynamic formalism ⋮ \(M\)-band scaling functions with minimal support are asymmetric ⋮ Smoothness of rank \(M\) scaling functions







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