Regional convergence depends on the ability to adopt advanced technology. This ability can be reflected on the resources devoted to science and technology. An empirical examination of this proposition suggests that technology adoption has a significant effect in regional convergence in Europe. The empirical analysis is also shown to have important implications for the direction of regional poli...

We characterize the functionals which are Mosco-limits, in the L2(Ω) topology, of some sequence of functionals of the kind Fn(u) := ∫ Ω αn(x)|∇u(x)| dx , where Ω is a bounded domain of RN (N ≥ 3). It is known that this family of functionals is included in the closed set of Dirichlet forms. Here, we prove that the set of Dirichlet forms is actually the closure of the set of diffusion functionals...

Let X be a locally connected, b-compact metric space and E a closed subset of X. Let G be the space of all continuous real-valued functions defined on some closed subsets of E. We prove the equivalence of the τ aw and τ K topologies on G, where τ aw is the so called Attouch-Wets topology, defined in terms of uniform convergence of distance functionals, and τ K is the topology of Kuratowski conv...

Let X = {Xt, t≥ 0} be a càdlàg Lévy process, centered, with moments of all orders. There are two families of orthogonal polynomials associated with X. On one hand, the Kailath–Segall formula gives the relationship between the iterated integrals and the variations of order n ofX, and defines a family of polynomials P1(x1), P2(x1, x2), . . . that are orthogonal with respect to the joint law of th...