3 papers
math.GM2025
On the validity of the Radon-Nikodym Theorem
Paolo Roselli, Michel Willem
This paper presents a new general formulation of the Radon-Nikodym theorem in the setting of abstract measure theory. We introduce the notion of weak localizability for a measure a…
math.AP2022
The local Schwarz paradox and the gradient of strongly differentiable functions
Paolo Roselli
We show that the gradient of a multi-variable strongly differentiable function at a point is the limit of a single coordinate-free Clifford quotient between a multi-difference pseu…
math.CA2018
The convergence of a gesture recognizer and the shape of a plane gesture
Lorenzo Luzzi, Paolo Roselli
In this work we develop the mathematical framework of !FTL, a new gesture recognition algorithm and we prove its convergence. Such convergence suggests to adopt a notion of shape f…