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Recently, many classes of infinitely divisible distributions on R^d have beencharacterized in several ways. Among others, the first way is to use Levymeasures, the second one is to use transformations of Levy measures, and thethird one is to use mappings of infinitely divisible distributions defined bystochastic integrals with respect to Levy processes. In this paper, we areconcerned with a class of mappings, by which we construct new classes ofinfinitely divisible distributions on R^d. Then we study a special case in R^1,which is the class of infinitely divisible distributions without Gaussian partsgenerated by stochastic integrals with respect to a fixed compound Poissonprocesses on R^1. This is closely related to the Goldie-Steutel-Bondessonclass.

New Classes of Infinitely Divisible Distributions Related to the Goldie-Steutel-Bondesson Class