A shift-invariant space is a space of functions that is invariant under integer translations. Such spaces are often used as models for spaces of signals and images in mathematical and engineering applications. This paper ...

We consider translates of functions in L 2 (Rd ) along an irregular set of points, that is, {φ(· − λk )}k∈Z—where φ is a bandlimited function. Introducing a notion of pseudo-Gramian function for the irregular case, we ...

We provide a data-driven synthesis framework for some complex systems. The proposed fra- mework relies on the linear operator theory involving the Koopman operator. Our first results employ Koopman-based lifting for the ...