### Dynamical sampling

- Series
- Analysis Seminar
- Time
- Wednesday, October 17, 2018 - 13:55 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Longxiu Huang – Vanderbilt University

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 of the dynamical sampling problem. However, they all focus on
uniform
discrete time-sets $\mathcal T\subset\{0,1,2,\ldots, \}$. In our study,
we concentrate on the case $\mathcal T=[0,L]$. The goal of the
present work is to study the frame property of the systems
$\{A^tg:g\in\mathcal G, t\in[0,L] \}$. To this end, we also
characterize the completeness and Besselness properties of these
systems.