Non-symmetric Perturbations of Symmetric Dirichlet Forms
P.J. Fitzsimmons and K. Kuwae
We provide a path-space integral
representation of the semigroup associated with the quadratic form
obtained by lower order perturbation of a symmetric local Dirichlet form.
The representation is a combination of Feynman-Kac and Girsanov
formulas, and extends previously known results in the
framework of symmetric diffusion processes through the use of the Hardy
class of smooth measures, which contains the Kato class of
A hard copy of this manuscript is available from the
first-named author upon request.
The manuscript can also be downloaded in
dvi form (105K),
postscript form (365K),
and pdf form (557K).
Back to preprints page
May 30, 2002; revised November 5, 2002