Translation functors, branching problems, and applications to the restriction of coherent cohomology of Shimura varieties

Michael Harris, Toshiyuki Kobayashi, Birgit Speh

We study properties of the restriction of discrete series representations of $G=U(p,q)$ to $G^{\prime }=U(p-1,q)$ and the corresponding symmetry breaking operators in $\operatorname{Hom}_{…