\(\ell ^p\)-linear independence of the system of integer translates

DOI10.1007/s00041-014-9332-7zbMath1304.42081OpenAlexW1966049283MaRDI QIDQ485261

Ivana Slamić

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-014-9332-7

zbMATH Keywords

sets of uniqueness\(\ell ^{p}\)-linear independenceinteger 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) General harmonic expansions, frames (42C15)

Related Items (8)

One-Dimensional Dyadic Wavelets ⋮ \(\ell^2(G)\)-linear independence for systems generated by dual integrable representations of LCA groups ⋮ Generalized frame operator, lower semiframes, and sequences of translates ⋮ Linear independence of a finite set of time-frequency shifts ⋮ Unnamed Item ⋮ 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

Cites Work

• Uniqueness for trigonometric series
• The representation theorems of D.E. Men'shov and their impact on the development of the metric theory of functions
• The wavelet transform, time-frequency localization and signal analysis
• Trigonometric series with rapidly decreasing coefficients
• $\ell ^2$-Linear independence for the system of integer translates of a square integrable function
• Linear independence and sets of uniqueness
• On a Problem of Littlewood
• Trigonometric series with positive partial sums
• On the coefficients of trigonometric null-series
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