Abstract
The goal of this article is to show that the notion of generalized graphs is able to represent the limit points of the sequence { g(un), dun} in the weak-$\star$ topology of measures when {un} is a sequence of continuous functions of uniformly bounded variation. The representation theorem induces a natural definition for the nonconservative product g(u), du in a BV context. Several existing definitions of nonconservative products are then compared, and the theory is applied to provide a notion of solutions and an existence theory to the Riemann problem for quasi-linear, strictly hyperbolic systems.