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math.CA2017★ 2 cited
The Fourier transform on 2-step Lie groups
Guillaume Lévy
In this paper, we investigate the behavior of the Fourier transform on finite dimensional 2-step Lie groups and develop a general theory akin to that of the whole space or the toru…
math.AP2017
On an anisotropic Serrin criterion for weak solutions of the Navier-Stokes equations
Guillaume Lévy
In this paper, we draw on the ideas of [5] to extend the standard Serrin criterion [17] to an anisotropic version thereof. Because we work on weak solutions instead of strong ones,…