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math.FA2023★ 3 cited
An existence and uniqueness result about algebras of Schwartz distributions
Nuno Costa Dias, Cristina Jorge, Joao Nuno Prata
We prove that there exists essentially one {\it minimal} differential algebra of distributions $\A$, satisfying all the properties stated in the Schwartz impossibility result [L. S…
math.FA2018★ 4 cited
Ordinary differential equations with point interactions: An inverse problem
Nuno Costa Dias, Cristina Jorge, Joao Nuno Prata
Given a linear ordinary differential equation (ODE) on $\RE$ and a set of interface conditions at a finite set of points $I \subset \RE$, we consider the problem of determining ano…