2 papers
math.FA2025
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…
math.AP2024
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…