A stability theorem for Feynman's operational calculus (Q2702400)

In a well-known classical work, R. Feynman dealt with the problem of constructing functions of noncommuting self-adjoint operators [see the 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 (2000; Zbl 0952.46044)]. The idea of the Feynman operational calculus can be used to study operational calculi via measures on what is called ''time interval of interest''. In this paper, the authors show that if a sequence of n-tuples of measures converges to an n-tuple of measures, then the associated sequence of operational calculi is also convergent to the corresponding operational calculus.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00049].