A characterization of orthonormal wavelet families in Sobolev spaces

DOI10.1016/S0252-9602(11)60333-0zbMath1249.42029OpenAlexW2009935172MaRDI QIDQ423242

Dayong Lu, Dengfeng Li

Publication date: 1 June 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(11)60333-0

zbMATH Keywords

waveletsSobolev spacesorthonormal wavelet families

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (6)

Multivariate box spline wavelets in higher-dimensional Sobolev spaces ⋮ Construction of periodic wavelet frames with dilation matrix ⋮ A characterization of multi-wavelet dual frames in Sobolev spaces ⋮ Finite extensions of generalized Bessel sequences to generalized frames ⋮ Frame properties of generalized shift-invariant systems in discrete setting ⋮ Wavelet packets in Sobolev space

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