Asymptotic expansions of matrix coefficients: The real rank one case

DOI10.1016/0022-1236(78)90057-5zbMath0392.43011OpenAlexW2002407092MaRDI QIDQ1251779

P. C. Trombi

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90057-5

zbMATH Keywords

RankAsymptotic Expansions of Matrix CoefficientsConnected Semisimple Lie GroupEisenstein IntegralsMatrix BlocksMaximal Compact SubgroupMinimal Parabolic SubgroupPrincipal RepresentationsSymmetric SpaceUniform ApproximationUnitary K Representation

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90)

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The rate of mixing for geodesic and horocycle flows, Harmonic analysis of \(C^ p(G:F)\) (\(1\leq p<2\)), Asymptotic behaviour of Eisenstein integrals

Cites Work

• Harmonic analysis on real reductive groups. I: The theory of the constant term
• The surjectivity of invariant differential operators on symmetric spaces. I
• Spherical transforms on semisimple Lie groups
• Asymptotic behaviour of eigen functions on a semisimple Lie group: The discrete spectrum
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