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for some ock e R, fik ^ 0, and Borel measure ok with jR{u /(l + u)) dok(u) < oo (and with ak({0}) = 0). We denote by pk (resp. pf) the probability measure on R with characteristic function, exp(Dfc(r)) (resp. exp(tDk(r))\ and by pk the probability measure on path space corresponding to Xk. pk is a Borel measure (with respect to the Skorokhod topology) on D = D[0, T], the space of real valued functions on [0, T] which are rightcontinuous and have left-hand limits, and may be defined in terms of pk in the usual way. If fi1 and fi2 are two measures on R (or D), we define y/ii~i^/n2 a s the unique measure satisfying

The inner product of path space measures corresponding to random processes with independent increments