T. Kobayashi. Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group O(p,q). Advances in Mathematics 388 (2021), 107862. 38 pages, DOI: 10.1016/j.aim.2021.107862. 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.

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© Toshiyuki Kobayashi