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Some Remarks on Semi-classical Analysis on Two-Step Nilmanifolds

Some Remarks on Semi-classical Analysis on Two-Step Nilmanifolds

In this paper, we present recent results about the developement of a semiclassical approach in the setting of nilpotent Lie groups and nilmanifolds. We focus on two-step nilmanifolds and exhibit some properties of the weak limits of sequence of densities associated with eigenfunctions of a sub-Laplacian. We emphasize the influence …