By introducing the family of Feymnan maps Js, we show that our earlier definition of the Feynman path integral J = J1 can be obtained as the analytic continuation of the Wiener integral E = J-i. This leads to some new results for the Wiener and Feynman integrals. We establish a translation and Cameron-Martin formula for the Feynman maps J s, having applications to nonrelativistic quantum mechanics. We also estalish a (weak) dominated convergence theorem for J1 = J. © 1978 American Institute of Physics.
|Number of pages||9|
|Journal||Journal of Mathematical Physics|
|Publication status||Published - 1977|