In contrast to classical strongly continuous semigroups, the study of bi-continuous
semigroups comes with some freedom in the properties of the associated locally convex …

We consider the Koopman operator theory in the context of nonlinear infinite-dimensional
systems, where the operator is defined over a space of bounded continuous functionals. The …

Extended Dynamic Mode Decomposition (EDMD) is a widely-used data-driven approach to
learn an approximation of the Koopman operator. Consequently, it provides a powerful tool …

The prediction of photon echoes is an important technique for gaining an understanding of
optical quantum systems. However, this requires a large number of simulations with varying …

We introduce the concept evolutionary semigroups on path spaces, generalizing the notion
of transition semigroups to possibly non-Markovian stochastic processes. We study the basic …

This paper is dedicated to weighted composition semigroups on spaces of continuous
functions and their subspaces. We consider semigroups induced by semiflows and …

The theory of C0-semigroups is a classical tool to study linear autonomous evolution
equations in Banach spaces. Yet, there are many evolution equations whose solution …

The Koopman linearization of semiflows has proven to be an effective instrument to study
dynamical systems with the tools of linear functional analysis and operator theory …