Abstract
An analytic characterization of gaugeability and conditional gaugeability is given for non-local (or discontinuous) Feynman-Kac transforms of general symmetric Markov processes. This analytic characterization is very useful in determining whether a process perturbed by a potential is gaugeable or conditionally gaugeable in concrete cases.
| Original language | English |
|---|---|
| Pages (from-to) | 226-246 |
| Number of pages | 21 |
| Journal | Journal of Functional Analysis |
| Volume | 202 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Aug 2003 |
| Externally published | Yes |
Keywords
- Conditional Markov process
- Conditional gauge theorem
- Feynman-Kac transform
- Gauge theorem
- Green function
- Kato class
- Lifetime
- Non-local perturbation
- Symmetric Markov process