  The Willems' fundamental lemma, which characterizes linear dynamics with
measured trajectories, has found successful applications in controller design
and signal processing, which has driven a broad research interest in its
extension to nonlinear systems. In this work, we propose to apply the
fundamental lemma to a reproducing kernel Hilbert space in order to extend its
application to a class of nonlinear systems and we show its application in
prediction and in predictive control.
