The behavior of the analytic
Feynman integral under translation has been studied in the recent work of R. H.
Cameron and D. A. Storvick. The purpose of this paper is to continue the
development of this transformation theory. In particular, the behavior of the analytic
Feynman integral under certain linear transformations is determined and, using this
linear transformation theory, a “generalized Schroedinger equation” is solved in terms
of an analytic Feynman integral.