Abstract
We give analytic characterizations of gaugeability for generalized Feynman-Kac functionals including continuous additive functional of zero quadratic variation in the framework of symmetric Markov processes. Our result improves the previous work on the analytic characterization due to Z.-Q. Chen (2003) even if we restrict ourselves to deal with non-local perturbations. We also prove that such a characterization is also equivalent to semi-conditional gaugeability and to the subcriticality of the Schrödinger operator associated to our generalized Feynman-Kac semigroup under the conditional (semi-)Green-tightness of related measures.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
