We consider sequences in a Hilbert space H of the form (T nf 0) n∈ I, with a linear operator
T, the index set being either I= N or I= Z, a vector f 0∈ H, and answer the following two …

We investigate systems of the form {A tg: g∈ G, t∈[0, L]} where A∈ B (H) is a normal
operator in a separable Hilbert space H, G⊂ H is a countable set, and L is a positive real …

Dynamical sampling, as introduced by Aldroubi et al., deals with frame properties of
sequences of the form {T i− 1 f 1} i∈ ℕ, where f 1 belongs to Hilbert space ℋ and T: ℋ→ ℋ …

Dynamical sampling is a new area in sampling theory that deals with signals that evolve
over time under the action of a linear operator. There are lots of studies on various aspects …