Feynman's operational calculi for time dependent noncommuting operators (Q2718429)

A comprehensive discussion concerning the classical construction of R. Feynman concerning the operational calculus can be found in the recent monograph ``The Feynman integral and Feynman's operational calculus'' by \textit{G. W. Johnson} and \textit{M. L. Lapidus} dedicated to this subject (see Zbl 0952.46044). In the present paper, the authors study Feynman's operational calculus for operator-valued functions of time and for measures which are not necessarily probability measures. The so called disentangling map is related to the solutions of evolution equations, and the presence of some unbounded operators is allowed.