1 citations · 1 across the 3 of their papers we have counts for
4 papers
Phase space analysis of higher-order dispersive equations with point interactions
Sonia Mazzucchi, Fabio Nicola, S. Ivan Trapasso
We investigate nonlinear, higher-order dispersive equations with measure (or even less regular) potentials and initial data with low regularity. Our approach is of distributional n…
Phase space analysis of finite and infinite dimensional Fresnel integrals
Sonia Mazzucchi, Fabio Nicola, S. Ivan Trapasso
The full characterization of the class of Fresnel integrable functions is an open problem in functional analysis, with significant applications to mathematical physics (Feynman pat…
An operational construction of the sum of two non-commuting observables in quantum theory and related constructions
Nicolò Drago, Sonia Mazzucchi, Valter Moretti
The existence of a real linear-space structure on the set of observables of a quantum system -- i.e., the requirement that the linear combination of two generally non-commuting obs…
High Order Heat-type Equations and Random Walks on the Complex Plane
Stefano Bonaccorsi, Sonia Mazzucchi
A probabilistic construction for the solution of a general class of high order heat-type equations is constructed in terms of the scaling limit of random walks in the complex plane…