Germ Expansions for Real Groups

DOI10.1007/978-3-319-41424-9_1zbMath1392.22011OpenAlexW2523559535MaRDI QIDQ2956126

James Arthur

Publication date: 16 January 2017

Published in: Families of Automorphic Forms and the Trace Formula (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-41424-9_1

zbMATH Keywords

asymptotic expansionShalika germsorbital integralsreal reductive groups

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (1)

Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\)

Cites Work

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• On local character relations
• The local behaviour of weighted orbital integrals
• The local structure of characters
• The trace formula in invariant form
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• The characters of discrete series as orbital integrals
• Orbital integrals on reductive Lie algebras
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Two theorems on semi-simple Lie groups
• Intégrales orbitales sur les groupes de Lie réductifs
• The Invariant Trace Formula. I. Local Theory
• Invariant Eigendistributions on a Semisimple Lie Group
• On the differential equations satisfied by weighted orbital integrals

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