Restriction of square integrable representations: discrete spectrum

DOI10.1215/S0012-7094-04-12336-XzbMath1056.22008OpenAlexW2038252904MaRDI QIDQ1880387

Jorge Antonio Vargas, Bent Orsted

Publication date: 27 September 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-04-12336-x

zbMATH Keywords

Berezin transformdiscrete series representation

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Related Items (10)

Wave front sets of reductive Lie group representations ⋮ A Cauchy problem for elliptic invariant differential operators and continuity of a generalized Berezin transform ⋮ Branching problems in reproducing kernel spaces ⋮ Discrete components in restriction of unitary representations of rank one semisimple Lie groups ⋮ Branching rules of Dolbeault cohomology groups over indefinite Grassmannian manifolds ⋮ The compact picture of symmetry-breaking operators for rank-one orthogonal and unitary groups ⋮ Covariant quantization: spectral analysis versus deformation theory ⋮ Branching problems for semisimple Lie groups and reproducing kernels ⋮ THE CONTINUOUS SPECTRUM IN DISCRETE SERIES BRANCHING LAWS ⋮ Invariant differential operators on H-type groups and discrete components in restrictions of complementary series of rank one semisimple groups

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