A. Aldroubi

activity

20032025

most citedExact Reconstruction of Spatially Undersampled Signals in Evolutionary Systems

55 citations · 119 across the 28 of their papers we have counts for

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11 papers · 1 filter

math.FA2025

Dynamical Sampling: A Survey

Akram Aldroubi, Carlos Cabrelli, Ilya Krishtal +1

Dynamical sampling refers to a class of problems in which space-time samples are taken from a signal evolving under an underlying dynamical system. The goal is to use these samples…

math.FA2019

Local-to-global frames and applications to dynamical sampling problem

Akram Aldroubi, Carlos Cabrelli, Ursula Molter +1

In this paper we consider systems of vectors in a Hilbert space $H$ of the form ${g_{j k} : j \in J, k \in K} \subset H$ where $J$ and $K$ are countable sets o…

math.FA2018

Frames Induced by the Action of Continuous Powers of an Operator

Akram Aldroubi, Longxiu Huang, Armenak Petrosyan

We investigate systems of the form ${A^{t} g : g \in G, t \in [0, L]}$ where $A \in B (H)$ is a normal operator in a separable Hilbert space $H$ , $\mathcal{G}\s…

math.FA2017

Phaseless Reconstruction from Space-Time Samples

Akram Aldroubi, llya krishtal, Sui Tang

Phaseless reconstruction from space-time samples is a nonlinear problem of recovering a function $x$ in a Hilbert space $H$ from the modulus of linear measurements $\{\lv…

math.FA2016

Dynamical sampling and systems from iterative actions of operators

Akram Aldroubi, Armenak Petrosyan

We review some of the recent developments and prove new results concerning frames and Bessel systems generated by iterations of the form ${A^{n} g : g \in G, n = 0, 1, 2, \dots}$ , where…

math.FA2016★ 1 cited

Iterative actions of normal operators

A. Aldroubi, C. Cabrelli, A. F. Çakmak +2

Let $A$ be a normal operator in a Hilbert space $H$ , and let $G \subset H$ be a countable set of vectors. We investigate the relations between $A$ , $\…