Multiwavelet sampling theorem in Sobolev spaces

DOI10.1007/S11425-010-4082-8zbMath1206.42035OpenAlexW2097842122MaRDI QIDQ625943

Shouzhi Yang, You Fa Li

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4082-8

zbMATH Keywords

Sobolev spacessampling theoremdelta functionrefinable function vectorsdual multiwavelet frames

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (11)

Weak nonhomogeneous wavelet dual frames for Walsh reducing subspace of L2(ℝ+) ⋮ Nonstationary multiwavelets and multiwavelet packets in Sobolev space \(H^s({\mathbb{R}}^d)\) ⋮ Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces ⋮ Bessel multiwavelet sequences and dual multiframelets in Sobolev spaces ⋮ Reconstruction of analytic signal in Sobolev space by framelet sampling approximation ⋮ Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error ⋮ Nonhomogeneous dual wavelet frames with the \(p\)-refinable structure in \(L^2(\mathbb{R}^+)\) ⋮ A characterization of multi-wavelet dual frames in Sobolev spaces ⋮ Walsh shift-invariant sequences and \(p\)-adic nonhomogeneous dual wavelet frames in \(L^{2}(\mathbb{R}_{+})\) ⋮ A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$ ⋮ ANALYTIC SAMPLING APPROXIMATION BY PROJECTION OPERATOR WITH APPLICATION IN DECOMPOSITION OF INSTANTANEOUS FREQUENCY

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