Frames by orbits of two operators that commute

A Aguilera, C Cabrelli, D Carbajal… - Applied and …, 2023 - Elsevier
Frames formed by orbits of vectors through the iteration of a bounded operator have recently
attracted considerable attention, in particular due to its applications to dynamical sampling …

Representations of frames via iterative actions of operators in tensor product spaces

NK Sahu, S Chauhan, RN Mohapatra - Journal of Pseudo-Differential …, 2023 - Springer
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 …

Phase retrieval and system identification in dynamical sampling via Prony's method

R Beinert, M Hasannasab - Advances in Computational Mathematics, 2023 - Springer
Phase retrieval in dynamical sampling is a novel research direction, where an unknown
signal has to be recovered from the phaseless measurements with respect to a dynamical …

Frames by Iterations and Invariant Subspaces

A Aguilera, C Cabrelli, D Carbajal… - … on Sampling Theory …, 2023 - ieeexplore.ieee.org
This paper presents a characterization of systems of iterations that generate frames of
abstract separable Hilbert spaces. The characterization is achieved through a …

[PDF][PDF] Phase Retrieval for Finitely-Supported Complex Measures via the Fourier Transform

A Abouserie - 2022 - uh-ir.tdl.org
We study the recovery of a finitely-supported complex measure µ=∑ sj= 1 cjδtj from the
magnitudes of linear measurements. The distribution µ is completely determined by the …