Asymptotic behaviour of eigen functions on a semisimple Lie group: The discrete spectrum

DOI10.1007/BF02392217zbMath0244.43006WikidataQ63347144 ScholiaQ63347144MaRDI QIDQ2554859

V. S. Varadarajan, P. C. Trombi

Publication date: 1972

Published in: Acta Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Analysis on other specific Lie groups (43A80)

Related Items (16)

The dimensions of spaces of Siegel cusp forms of general degree ⋮ Restriction of square integrable representations: discrete spectrum ⋮ Sur les caractères des groupes de Lie réductifs non connexes. (On the characters of non-connected reductive Lie groups) ⋮ A Cauchy problem for elliptic invariant differential operators and continuity of a generalized Berezin transform ⋮ Fourier-Jacobi expansion of automorphic forms on \(\text{Sp}(1,q)\) generating quaternionic discrete series ⋮ On the distribution of Satake parameters for Siegel modular forms ⋮ Asymptotics of functions satisfying the \(\gamma\)-weak inequality with applications to uniformly bounded representations ⋮ Asymptotic expansions of Eisenstein integrals and Fourier transform on symmetric spaces ⋮ Harmonic analysis of \(C^ p(G:F)\) (\(1\leq p<2\)) ⋮ Multiplicity formulae for discrete series ⋮ A proof of Blattner's conjecture ⋮ Note on a theorem of H. Moscovici ⋮ Characters, asymptotic and n-homology of Harish-Chandra modules ⋮ On integrable representations of a semisimple Lie group ⋮ Asymptotic expansions of matrix coefficients: The real rank one case ⋮ Multiplicities of the integrable discrete series: the case of a nonuniform lattice in an R-rank one semisimple group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a conjecture of Langlands
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Two theorems on semi-simple Lie groups
• Representations of Semisimple Lie Groups IV
• Representations of Semisimple Lie Groups, V
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• Fourier Transforms on a Semisimple Lie Algebra I
• Spherical Functions on a Semisimple Lie Group, I
• SOME RESULTS ON DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS
• Invariant Eigendistributions on a Semisimple Lie Group
• Harmonic analysis on semisimple Lie groups
• Représentations intégrables du groupe de De Sitter

This page was built for publication: Asymptotic behaviour of eigen functions on a semisimple Lie group: The discrete spectrum