123 citations · 1k across the 65 of their papers we have counts for
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A metaplectic perspective of uncertainty principles in the Linear Canonical Transform domain
Nuno Costa Dias, Maurice de Gosson, João Nuno Prata
We derive Heisenberg uncertainty principles for pairs of Linear Canonical Transforms of a given function, by resorting to the fact that these transforms are just metaplectic operat…
On Wigdersons' approach to the uncertainty principle
Nuno Costa Dias, Franz Luef, João Nuno Prata
We revisit the uncertainty principle from the point of view suggested by A. Wigderson and Y. Wigderson. This approach is based on a primary uncertainty principle from which one can…
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…
Uncertainty principle via variational calculus on modulation spaces
Nuno Costa Dias, Franz Luef, João Nuno Prata
We approach uncertainty principles of Cowling-Price-Heis-\\enberg-type as a variational principle on modulation spaces. In our discussion we are naturally led to compact localizati…
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…
A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces
Nuno Costa Dias, Maurice de Gosson, Franz Luef +1
The usual Weyl calculus is intimately associated with the choice of the standard symplectic structure on . In this paper we will show that the r…