Relative discrete series of line bundles over bounded symmetric domains

DOI10.5802/aif.1538zbMath0853.22011OpenAlexW2082964892MaRDI QIDQ1816883

Genkai Zhang, Anthony H. Dooley, Bent Orsted

Publication date: 28 November 1996

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1996__46_4_1011_0

zbMATH Keywords

line bundlebounded symmetric domainholomorphic discrete seriesrelative discrete series

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (5)

Branching problems in reproducing kernel spaces ⋮ Lifted infinitesimal holomorphic representation for the \(n\)-dimensional complex hyperbolic ball and for Cartan domains of type I ⋮ Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric domains ⋮ Weighted Bergman kernels for nearly holomorphic functions on bounded symmetric domains ⋮ Generalized principal series representations of $SL(1+n,\mathbb {C})$

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