  For a semisimple Lie group $G$, we study Discrete Series representations with
admissible branching to a symmetric subgroup $H$. This is done using a
canonical associated symmetric subgroup $H_0$, forming a pseudo-dual pair with
$H$, and a corresponding branching law for this group with respect to its
maximal compact subgroup. This is in analogy with either Blattner's or
Kostant-Heckmann multiplicity formulas, and has some resemblance to Frobenius
reciprocity. We give several explicit examples and links to Kobayashi-Pevzner
theory of symmetry breaking and holographic operators. Our method is well
adapted to computer algorithms, such as for example the Atlas program.
