The Hausdorff $h - m$ measure of the graph of a Riemann integrable function is shown to be finite provided $h$ satisfies an inequality related to the rate of ...

Integrable systems and Hamiltonian dynamics occupy a central role in modern theoretical physics and mathematics. At their heart, these systems are characterised by the existence of a sufficient number ...

This paper deals with convergence theorems for martingales of strongly measurable Pettis integrable functions. First, a characterization of those martingales which converge in the Pettis norm is ...

Integrable systems represent a unique class of mathematical models in which the dynamics can be exactly solved through the existence of a sufficient number of conserved quantities. They offer a ...