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 ]

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© Toshiyuki Kobayashi