info:eu-repo/semantics/publishedVersion
Local-to-global frames and applications to the dynamical sampling problem
Fecha
2021Registro en:
Aldroubi, Akram; Cabrelli, Carlos; Molter, Ursula Maria; Petrosyan, Armenak; Local-to-global frames and applications to the dynamical sampling problem; Birkhauser Verlag Ag; 6; 2021; 211-220
978-3-030-69636-8
2296-5009
2296-5017
CONICET Digital
CONICET
Autor
Aldroubi, Akram
Cabrelli, Carlos
Molter, Ursula Maria
Petrosyan, Armenak
Resumen
In this paper, we consider systems of vectors in a Hilbert space H of theform {gjk : j ∈ J, k ∈ K} ⊆ H, where J and K are countable sets of indices.We find conditions under which the local reconstruction properties of such a systemextend to global stable recovery properties on the whole space. As a particular case,we obtain new local-to-global results for systems of type {Ang}g∈G,0≤n≤L arisingin the dynamical sampling problem.