The purpose of this paper is to study frames for a Hilbert space H, having the form {T n φ} n=
0∞ for some φ∈ H and an operator T: H→ H. We characterize the frames that have such a …

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 …

In this paper, we investigate the problem of source recovery in a dynamical system utilizing
space-time samples. This is a specific issue within the broader field of dynamical sampling …

Heat diffusion processes have found wide applications in modelling dynamical systems over
graphs. In this paper, we consider the recovery of a-bandlimited graph signal that is an initial …

Vectors in a real finite-dimensional Hilbert space that accomplish phase and norm retrieval
can be characterized. In this article, we consider the cases where an operator A is self …

Let {M k} k∈ Z be a sequence of closed subspaces of Hilbert space H, and let {Θ k} k∈ Z be
a sequence of linear operators from H into M k, k∈ Z. In the case where, Θ k is self-adjoint …

Generalizing results by Halperin et al., Grivaux recently showed that any linearly
independent sequence {f_k\} _ k= 1^ ∞ fk k= 1∞ in a separable Banach space X can be …

This short note is concerned with various operator representations of frames in a Hilbert
space H. While it is known that only very special frames can be represented in the form {T n …

The purpose of this paper is to study the dynamical representation of frames in tensor
product of two Hilbert spaces H 1⊗ H 2. We have considered frames in H 1⊗ H 2 and …

It is known that it is a very restrictive condition for a frame $\{f_k\} _ {k= 1}^\infty $ to have a
representation $\{T^ n\varphi\} _ {n= 0}^\infty $ as the orbit of a bounded operator $ T …