Almost integer translates. Do nice generators exist?
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Publication:1882643
DOI10.1007/s00041-004-8006-2zbMath1071.42020OpenAlexW2062974318MaRDI QIDQ1882643
Alexander Ulanovskii, Alexander Olevskiĭ
Publication date: 1 October 2004
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-004-8006-2
Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Completeness of sets of functions in one variable harmonic analysis (42A65)
Related Items (14)
The geometry of sets of parameters of wave packet frames ⋮ Completeness in \(L^1(\mathbb R)\) of discrete translates ⋮ Uniqueness theorems for Fourier transforms ⋮ On a class of non-uniform average sampling expansions and partial reconstruction in subspaces of \(L _{2}(\mathbb R)\) ⋮ Reconstruction of Signals: Uniqueness and Stable Sampling ⋮ Rate of innovation for (non-)periodic signals and optimal lower stability bound for filtering ⋮ Generating sets for Beurling algebras ⋮ Universal sampling of band-limited signals ⋮ Spectral subspaces of $L^p$ for $p<1$ ⋮ Discrete translates in function spaces ⋮ Sampling and Approximation in Shift Invariant Subspaces of $$L_2(\mathbb {R})$$ ⋮ Quasi-frames of translates ⋮ Poisson type generators for \(L^{1}(\mathbb R)\) ⋮ On the frames of translates on locally compact abelian groups
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