Random Integral Representations for Classes of Limit Distributions Similar to Levy Class L sub 0. II

摘要

The aim of this paper is to find a random integral representation for some classes of limit distributions. Such representations give a very natural connection between theory of limit distributions and theory of stochastic processes. In some sense this note complements the subject, with a long history, of characterizations of stochastic processes by random integrals; cf. B.L.S. Praksa Rao. On the other hand, this is a continuation of the study begun in Jurek but basically in a case of a Hilbert space and the identity operator.