Wolfe (Stochastic Process. Appl. 12(3) (1982) 301) and Sato (Probab. Theory Related Fields 89(3) (1991) 285) gave two different representations of a random variable X1 with a self-decomposable distribution in terms of processes with independent increments. This paper shows how either of these...

In previous papers [T. Funaki, Y. Hariya, M. Yor, Wiener integrals for centered powers of Bessel processes, I, Markov Processes Related Fields (2006) (in press); T. Funaki, Y. Hariya, M. Yor, Wiener integrals for centered Bessel and related processes, II, Alea (2006) (in press)], the authors...

The existence and best L2-bounds for the Wiener type integrals , where X ranges through a wide class of Bessel-like centered processes, and f belongs to L2([0,1]), are discussed in terms of Fourier transforms associated with some characteristics of X, thus providing some unification of previous...

Let I be a countable index set, and let P be a probability measure on C[0, 1]I such that the coordinate process satisfies an infinite-dimensional stochastic differential equation dX = dW+b(X,t)dt. In contrast to the finite-dimensional case, the time reversed process cannot always be described by...