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\documentclass{article}
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\begin{document}
We consider unbounded representations of relations of the form
\begin{equation}
\label{poly}
[A,B] = i f(A).
\end{equation}

We say that the pair of opertors $A$, $B$, satisfies \eqref{poly} if
for any $t \in \mathbb{R}$, and any Borel $\Delta$
\begin{equation}
\label{bound}
E_A(\Delta) \exp (-itB) = \exp (-itB) \, E_A (S^{-1}_t (\Delta)),
\end{equation}
where $S_t(\cdot)$ is a continuous with respect to $t$ group of
measurable transformations of $\mathbb{R} \cup \{\infty\}$ such that
\[
S'_t(\lambda) |_{t=0} = f(B).
\]
The existence and uniqueness problems for $S_t(\cdot)$ are studied in
\cite{dalet}. 

\end{document}


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