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math.AP2023
Singular Value Decomposition for the X-ray Transforms on the Reduced Heisenberg Group, and a Two-Radius Theorem
Steven Flynn
We give an explicit Singular Value Decomposition of the sub-Riemannian X-ray transform on the Heisenberg group with compact center. By studying the singular values, we obtain a two…
math.AP2022
Some remarks on semi-classical analysis on two-step Nilmanifolds
Clotilde Fermanian Kammerer, Véronique Fischer, Steven Flynn
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 nilmanifol…