This is the abstract of the paper
  "Feynman-Kac Semigroups, Martingales and Wave operators"
by Jan A. van Casteren.

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Abstract: In this paper we will discuss the following topics:
\begin{itemize}
\item Notation, generalities, Markov processes. The close relationship
      between (generators of) Markov processes and the martingale problem
      is exhibited. A link between the Korovkin property and generators of
      Feller semigroups is established.
\item Feynman-Kac semigroups: 0-order regular perturbations, pinned
      Markov measures. A basic representation via distributions of
      Markov processes is depicted.
\item Dirichlet semigroups: 0-order singular perturbations,
      harmonic functions, multiplicative functionals.
      Here a representation theorem of solutions
      to the heat equation is depicted in terms of the distributions of
      the underlying Markov process and a suitable stopping time.
\item Sets of finite capacity, wave operators, and related results.
      In this section a number of results are presented concerning
      the completeness of scattering systems (and its spectral
      consequences).
\item Some (abstract) problems related to Neumann semigroups: 1st
      order perturbations. In this section some rather abstract
      problems are presented, which lie on the borderline between first
      order perturbations together with their boundary limits
      (Neumann type boundary conditions and) and reflected
      Markov processes.
\item Operator-valued Cauchy semigroups: some formulae, $KMS$-function.
      Some relevant general formulae are presented
      in which among other things the $KMS$-condition shows up.
\end{itemize}