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

DOI10.1016/0001-8708(90)90025-IzbMath0711.22005OpenAlexW1992631560WikidataQ115368963 ScholiaQ115368963MaRDI QIDQ923135

Joseph A. Wolf, Rebecca A. Herb

Publication date: 1990

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(90)90025-i

zbMATH Keywords

semisimple Lie groupmatrix coefficientsrelative discrete seriestempered spectrumconnected reductive Lie groupcuspidal parabolic subgroupsinduced tempered representationsSchwartz class wave packets

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Analysis on other specific Lie groups (43A80)

Related Items (1)

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Cites Work

• Wave packets for the relative discrete series. I: The holomorphic case
• Wave packets for the relative discrete series. II: The nonholomorphic case
• Asymptotic behavior of matrix coefficients of admissible representations
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• Harmonic analysis on real reductive groups. III: The Maass-Selberg relations and the plancherel formula
• Harmonic analysis on real reductive groups. II: Wave-packets in the Schwartz space
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces
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