Wave packets for the relative discrete series. II: The nonholomorphic case

DOI10.1016/0022-1236(87)90058-9zbMath0625.22011OpenAlexW4243745464MaRDI QIDQ579440

Rebecca A. Herb, Joseph A. Wolf

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90058-9

zbMATH Keywords

wave packetsHermitian symmetric spacecusp formsSchwartz spacematrix coefficientsfinite matrix elementsharmonic analysis on semisimple Lie groupsinfinite centerrelative discrete series

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Analysis on other specific Lie groups (43A80)

Related Items

The Schwartz space of a general semisimple Lie group. I: Wave packets of Eisenstein integrals ⋮ Unnamed Item

Cites Work

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• Wave packets for the relative discrete series. I: The holomorphic case
• Asymptotic behavior of matrix coefficients of admissible representations
• On the fundamental series of a real semisimple Lie algebra: their irreducibility, resolutions and multiplicity formulae
• Singular invariant eigendistributions as characters in the Fourier transform of invariant distributions
• Notes on homological algebra and representations of Lie algebras
• A proof of Blattner's conjecture
• On the characters of the discrete series. The Hermitian symmetric case
• Harmonic analysis on real reductive groups. III: The Maass-Selberg relations and the plancherel formula
• Some properties of squareintegrable representations of semisimple Lie groups
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces