"Driving force identification via dynamical sampling"
Krishtal, IlyaDynamical sampling studies methods of sampling and reconstruction of functions that evolve in time. In this talk, we will give a short overview of typical problems in dynamical sampling and then focus on algorithms for identifying relevant portions of a driving force in an abstract initial value problem in a Hilbert space. In particular, we will discuss detecting burst-like forcing terms and rapidly decaying forcing terms. The presentation is based on joint work with A. Aldroubi, L. Huang, K. Kornelson, and L. Gong.