36 citations · 87 across the 16 of their papers we have counts for
21 papers
Wiener Algebras Methods for Liouville Theorems on the Stationary Navier-Stokes System
Nicolas Lerner
We prove some Liouville theorems for the stationary Navier-Stokes system for incompressible fluids. We provide some sufficient conditions on the low frequency part of the solution,…
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.…
On some properties of the curl operator and their consequences for the Navier-Stokes system
Nicolas Lerner, François Vigneron
We investigate some geometric properties of the operator, based on its diagonalizationand its expression as a non-local symmetry of the pseudo-derivative $(-Δ…
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…
An energy method for averaging lemmas
Diogo Arsénio, Nicolas Lerner
This work introduces a new approach to velocity averaging lemmas in kinetic theory. This approach -- based upon the classical energy method -- provides a powerful duality principle…
On the anti-Wick symbol as a Gelfand-Shilov generalized function
Laurent Amour, Nicolas Lerner, Jean Nourrigat
The purpose of this article is to prove that the anti-Wick symbol of an operator mapping into , which is generally not a tempered distribution, c…