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math.SP2024
On the Uncertainty Principle for Metaplectic Transformations
Nicolas Lerner
We explore the new proofs and extensions of the Heisenberg Uncertainty Principle introduced by A.~Widgerson & Y.~Widgerson in [MR4229152], developed in [MR4453622] by N.C.~Dias, F.…
math.SP2021★ 1 cited
Integrating the Wigner Distribution on subsets of the phase space, a Survey
Nicolas Lerner
We review several properties of integrals of the Wigner distribution on subsets of the phase space. Along our way, we provide a theoretical proof of the invalidity of Flandrin's co…
math.SP2019
On integrals over a convex set of the Wigner distribution
Bérangère Delourme, Thomas Duyckaerts, Nicolas Lerner
We provide an example of a normalized function such that its Wigner distribution has an integral on the square for…