Carleman estimates for geodesic X-ray transforms.
Ergodic Theory and Dynamical Systems Seminar
22nd March 2018, 3:00 pm – 4:00 pm
Howard House, 4th Floor Seminar Room
I will describe a new energy estimate for the geodesic vector field
of a manifold of negative curvature. The estimate has several
injectivity of non-abelian X-ray transforms and the existence of
invariant distributions with prescribed first Fourier coefficients
for the geodesic flow. This is joint work with Mikko Salo.