123 citations · 998 across the 65 of their papers we have counts for
72 papers
Inverse problems for the zeros of the Wigner function
Luís Daniel Abreu, Ulysse Chabaud, Nuno Costa Dias +1
We study the nodal (zero) set of the Wigner transform, obtaining a rigidity theorem for the eigenstates of one-dimensional harmonic oscillator. For every , and…
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…
Vibration modes of the Euler-Bernoulli beam equation with singularities
Nuno Costa Dias, Cristina Jorge, João Nuno Prata
We consider the time dependent Euler--Bernoulli beam equation with discontinuous and singular coefficients. Using an extension of the Hörmander product of distributions with non-in…
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…
On a recent conjecture by Z. Van Herstraeten and N.J. Cerf for the quantum Wigner entropy
Nuno Costa Dias, João Nuno Prata
We address a recent conjecture stated by Z. Van Herstraeten and N.J. Cerf. They claim that the Shannon entropy for positive Wigner functions is bounded below by a positive constant…