A REFINEMENT OF ANALYTIC CHARACTERIZATIONS OF GAUGEABILITY FOR GENERALIZED FEYNMAN-KAC FUNCTIONALS

摘要

We relax the conditions for measures in our previous paper [Analytic characterizations of gaugeability for generalized Feynman-Kac functionals (2016) Preprint] on analytic characterizations of (conditional) gaugeability for generalized Feynman-Kac functionals in the framework of symmetric Markov processes. The analytic characterization is also equivalent to the maximum principle for generalized Feynman-Kac semigroups, extending the result by Takeda [The bottom of the spectrum of time-changed processes and the maximum principle of Schrodinger operators (2015) Preprint].