## T. Kobayashi and A. Leontiev.
*Symmetry breaking operators for the
restriction of representations of indefinite orthogonal groups **O*(*p*,*q*),
Proc. Japan Acad. Ser. A Math. Sci. **93** (2017), no. 8, 86-91,
DOI: 10.3792/pjaa.93.86.

For the pair (*G*, *G*') =(*O*(*p*+1, *q*+1), *O*(*p*,*q*+1)), we construct and give a complete classification of intertwining operators (*symmetry breaking operators*) between
most degenerate spherical
principal series representations of
*G* and those of the subgroup *G*', extending the work initiated by
Kobayashi and Speh [Memoirs of Amer. Math. Soc. 2015] in the real rank one case where *q*=0.
Functional identities and residue formulae of the regular symmetry breaking operators are also provided
explicitly.
The results contribute to Program C of branching problems suggested by the first author [Progr. Math. 2015].

[ DOI ]

© Toshiyuki Kobayashi