On the uniform convergence of random series in Skorohod space and representations of càdlàg infinitely divisible processes

Andreas Basse-O'Connor, Jan Rosiński

Let $X_n$ be independent random elements in the Skorohod space $D([0,1];E)$ of càdlàg functions taking values in a separable Banach space $E$. Let $S_n={\sum }_{j=1}^n{X}_j$. We show th…