Ki. Sato et Fw. Steutel, NOTE ON THE CONTINUATION OF INFINITELY DIVISIBLE DISTRIBUTIONS AND CANONICAL MEASURES, Statistics (Berlin), 31(4), 1998, pp. 347-357
We consider the question, to what extent an infinitely divisible distr
ibution function on R+ is determined by its values on an interval star
ting at zero, or by the values of its canonical measure on such an int
erval. These questions are considered in the book by Rossberg ct al. (
1985). Our results extend parts of their work. These results are appli
ed to the continuation of constant multiples of infinitely divisible d
istribution functions and to the distribution of subordinators.