Restriction of some unitary representations of O(1,N) to symmetric subgroups
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Publication:2788593
zbMath1333.22009arXiv1209.2312MaRDI QIDQ2788593
Publication date: 19 February 2016
Full work available at URL: https://arxiv.org/abs/1209.2312
unitary representationcomplementary serieshypergeometric functiondiscrete seriesprincipal seriesBessel operatorsbranching lawKodaira-Titchmarsh formula
Sturm-Liouville theory (34B24) Semisimple Lie groups and their representations (22E46) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (13)
Knapp-Stein type intertwining operators for symmetric pairs ⋮ Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups ⋮ Symmetry breaking operators for real reductive groups of rank one ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and restriction to subgroups ⋮ Restriction of irreducible unitary representations of 𝑆𝑝𝑖𝑛(𝑁,1) to parabolic subgroups ⋮ Symmetry breaking operators for strongly spherical reductive pairs ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and Parseval-Plancherel-type formulas under subgroups ⋮ Bounded multiplicity theorems for induction and restriction ⋮ Tensor products of complementary series of rank one Lie groups ⋮ Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\) ⋮ Bernstein-Sato identities and conformal symmetry breaking operators ⋮ Residue families, singular Yamabe problems and extrinsic conformal Laplacians ⋮ Invariant differential operators on H-type groups and discrete components in restrictions of complementary series of rank one semisimple groups
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