Wiener measures for path integrals with affine kinematic variables

We generalize results obtained earlier to show that the path integral for the affine coherent state matrix element of a unitary evolution operator exp (-iTH) can be written as a well-defined Wiener integral, involving Wiener measure on the Lobachevsky half plane, in the limit that the diffusion constant diverges. This approach works for a wide class of Hamiltonians, including e.g. -d2/dx2+V(x) on L2 (R+), with V sufficiently singular at x=0. (orig.)