Local-to-global frames and applications to dynamical sampling problem
Abstract
In this paper we consider systems of vectors in a Hilbert space H of the form \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 system extend 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 arising in the dynamical sampling problem.
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