  Recently, many classes of infinitely divisible distributions on R^d have been
characterized in several ways. Among others, the first way is to use Levy
measures, the second one is to use transformations of Levy measures, and the
third one is to use mappings of infinitely divisible distributions defined by
stochastic integrals with respect to Levy processes. In this paper, we are
concerned with a class of mappings, by which we construct new classes of
infinitely divisible distributions on R^d. Then we study a special case in R^1,
which is the class of infinitely divisible distributions without Gaussian parts
generated by stochastic integrals with respect to a fixed compound Poisson
processes on R^1. This is closely related to the Goldie-Steutel-Bondesson
class.
