4 papers
Submodules of and Frames by Pairs of Bounded Commuting Operators
Victor Bailey, Carlos Cabrelli
Recent work in Dynamical Sampling has been centered on characterizing frames obtained by the orbit of a vector under a bounded operator. We prove a necessary and sufficient conditi…
Dynamical Frames and Hyperinvariant Subspaces
Victor Bailey, Deguang Han, Keri Kornelson +2
The theory of dynamical frames evolved from practical problems in dynamical sampling where the initial state of a vector needs to be recovered from the space-time samples of evolut…
Reconstructing Graph Signals from Noisy Dynamical Samples
Akram Aldroubi, Victor Bailey, Ilya Krishtal +2
We investigate the dynamical sampling space-time trade-off problem within a graph setting. Specifically, we derive necessary and sufficient conditions for space-time sampling that…
Frames via Unilateral Iterations of a Bounded Operator
Victor Bailey
Motivated by recent work in Dynamical Sampling, we prove a necessary and sufficient condition for a frame in a separable and infinite-dimensional Hilbert space to admit the form $\…