Asymptotics of functions satisfying the \(\gamma\)-weak inequality with applications to uniformly bounded representations

DOI10.1016/0022-1236(80)90105-6zbMath0426.22010OpenAlexW1968595261MaRDI QIDQ1135946

P. C. Trombi

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90105-6

zbMATH Keywords

Plancherel formularepresentationstempered distributionSchwartz spacematrix coefficientsconnected semisimple Lie groupHarish- Chandra's subquotient theoremLanglands' classification

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46)

Cites Work

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• 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
• Two theorems on semi-simple Lie groups
• Asymptotic behaviour of eigen functions on a semisimple Lie group: The discrete spectrum
• The Tempered Spectrum of a Real Semisimple Lie Group