## T. Kobayashi.
Branching laws of unitary representations associated to minimal
elliptic orbits for indefinite orthogonal group *O*(*p*,*q*).
preprint, 37 pages.
arXiv: arXiv: 1907.07994.

We give a complete description of the discrete spectra
in the branching law Π|_{G'}
with respect to the pair (*G*,*G*')=(*O*(*p*,*q*), *O*(*p*',*q*') ×*O*(*p*”,*q*”))
for irreducible unitary representations Π of *G*
that are ''geometric quantization
of minimal elliptic coadjoint orbits.
We also construct explicitly all holographic operators
and prove a Parseval-type formula.

[ preprint version(pdf) |
arXiv ]

© Toshiyuki Kobayashi