Analysis Seminar - Henrik Schlichtkrull

On the Helgason conjecture

The Helgason conjecture, which was proved by Kashiwara et al in 1978, asserts for a Riemannian symmetric space G/K that every joint eigenfunction of the invariant differential operators can be represented as the Poisson integral of a hyperfunction on the boundary G/P. The talk concerns a new interpretation and a simplified proof of the conjecture, obtained in joint work with H. Gimperlein, B. Krötz and J. Kuit.