Composition Series for Analytic Continuations of Holomorphic Discrete Series Representations of SU(n, n)

DOI10.2307/1998022zbMath0439.22017OpenAlexW4231458622MaRDI QIDQ3881052

Bent Orsted

Publication date: 1980

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998022

zbMATH Keywords

composition seriesShilov boundaryholomorphic discrete seriesgeneralized binomial formula

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (12)

Function spaces and reproducing kernels on bounded symmetric domains ⋮ Group representations arising from Lorentz conformal geometry ⋮ The holomorphic discrete series for affine symmetric spaces. I ⋮ Basic covariant differential operators on hermitian symmetric spaces ⋮ Realization of the invariant inner products on the highest quotients of the composition series ⋮ Function spaces on the Ol'shanskiĭ semigroup and the Gel'fand-Gindikin program ⋮ Scattering theory for 3-particle systems in constant magnetic fields: dispersive case ⋮ Weighted Bergman spaces and the holomorphic discrete series of \(\widetilde{U(p,q)}\) ⋮ Unnamed Item ⋮ A model for an interacting quantum field ⋮ Non-compact quantum groups and quantum Harish-Chandra modules ⋮ Composition series for analytic continuations of holomorphic discrete series representations of \(\text{SU}_{p,q}\)

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