The Penrose transform for Sp(n,R) and singular unitary representations
The Penrose transform for Sp(n,R) and singular unitary representations
We give a general definition of the Radon-Penrose transform for a Zuckerman-Vogan derived functor module of a reductive Lie group G, which maps from the Dolbeault cohomology group over a pseudo-Kähler homogeneous manifold into the space of smooth sections of a vector bundle over a Riemannian symmetric space. Furthermore, we …