$\ell ^2$-Linear independence for the system of integer translates of a square integrable function
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Publication:4907125
DOI10.1090/S0002-9939-2012-11378-4zbMath1259.42029arXiv1011.2129MaRDI QIDQ4907125
Publication date: 4 March 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.2129
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Convergence and absolute convergence of Fourier and trigonometric series (42A20)
Related Items (16)
One-Dimensional Dyadic Wavelets ⋮ \(\ell^2(G)\)-linear independence for systems generated by dual integrable representations of LCA groups ⋮ Left translates of a square integrable function on the Heisenberg group ⋮ Maximal cyclic subspaces for dual integrable representations ⋮ Democratic systems of translates ⋮ On Various Levels of Linear Independence for Integer Translates of a Finite Number of Functions ⋮ Projections and dyadic Parseval frame MRA wavelets ⋮ Generalized frame operator, lower semiframes, and sequences of translates ⋮ A note on \(\ell^2\)-linear independence of Gabor systems ⋮ Correction to: ``Left translates of a square integrable function on the Heisenberg group ⋮ Linear independence of a finite set of time-frequency shifts ⋮ \(\ell ^p\)-linear independence of the system of integer translates ⋮ Characterizations of democratic systems of translates on locally compact abelian groups ⋮ \(\ell^p(G)\)-linear independence and \(p\)-zero divisors ⋮ Spaces generated by orbits of unitary representations: a tribute to Guido Weiss ⋮ Sequence dominance in shift-invariant spaces
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