Affine frame decompositions and shift-invariant spaces
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Publication:818336
DOI10.1016/j.acha.2005.09.003zbMath1091.42021OpenAlexW2011460584MaRDI QIDQ818336
Publication date: 20 March 2006
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2005.09.003
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)
Related Items (18)
Bessel sequences in Sobolev spaces ⋮ Characterizations of tight over-sampled affine frame systems and over-sampling rates ⋮ Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces ⋮ On a class of weak nonhomogeneous affine bi-frames for reducing subspaces of \(L^2(\mathbb R^d)\) ⋮ Topological and geometric properties of refinable functions and MRA affine frames ⋮ Principal shift-invariant spaces with extra invariance nearest to observed data ⋮ Nonuniform nonhomogeneous dual wavelet frames in Sobolev spaces in \(L^2(\mathbb{K})\) ⋮ Weak Nonhomogeneous Wavelet Bi-Frames for Reducing Subspaces of Sobolev Spaces ⋮ Frames in spaces with finite rate of innovation ⋮ Rate of innovation for (non-)periodic signals and optimal lower stability bound for filtering ⋮ Wiener's lemma for localized integral operators ⋮ Uncertainty principles and Balian-Low type theorems in principal shift-invariant spaces ⋮ Sobolev spaces and approximation by affine spanning systems ⋮ Uncertainty principles in finitely generated shift-invariant spaces with additional invariance ⋮ Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error ⋮ Stability of localized operators ⋮ Walsh shift-invariant sequences and \(p\)-adic nonhomogeneous dual wavelet frames in \(L^{2}(\mathbb{R}_{+})\) ⋮ A class of weak dual wavelet frames for reducing subspaces of Sobolev spaces
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