Completeness in L2(ℝ) of almost integer translates

DOI10.1016/S0764-4442(97)87873-1zbMath0897.46016MaRDI QIDQ4345550

Alexander Olevskiĭ

Publication date: 2 September 1997

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

completenessalmost integer translates

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items (16)

Random Menshov spectra ⋮ Completeness in \(L^1(\mathbb R)\) of discrete translates ⋮ Reconstruction of Signals: Uniqueness and Stable Sampling ⋮ Upper Beurling density of systems formed by translates of finite sets of elements in \(L^p(\mathbb{R}^d)\) ⋮ Unconditional structures of translates for \(L_p(\mathbb R^d)\) ⋮ A Schauder basis for \(L_2\) consisting of non-negative functions ⋮ On the structure and interpolation properties of quasi shift-invariant spaces ⋮ Generating sets for Beurling algebras ⋮ Spectral subspaces of $L^p$ for $p<1$ ⋮ Discrete translates in function spaces ⋮ Some problems in the theory of ridge functions ⋮ Phase space distribution of Gabor expansions ⋮ Quasi-frames of translates ⋮ Systems formed by translates of one element in $L_{p}(\mathbb R)$ ⋮ Poisson type generators for \(L^{1}(\mathbb R)\) ⋮ Injectivity of Gabor phase retrieval from lattice measurements

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