1 research outputs found
Local-to-global frames and applications to dynamical sampling problem
In this paper we consider systems of vectors in a Hilbert space
of the form where and
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 arising in the dynamical sampling problem