Formula_20551

\[\begin{gathered}\left(S^{n}(t) f_{n}\right)\left(x_{1}, \ldots, x_{n}\right)= \\=f_{n}\left(X_{1}\left(t, x_{1}, \ldots, x_{n}\right), \ldots, X_{n}\left(t, x_{1}, \ldots, x_{n}\right)\right),\end{gathered}\]