On a Family of Distributions obtained from Orbits

DOI10.4153/CJM-1986-009-4zbMath0593.22015MaRDI QIDQ3722753

James Arthur

Publication date: 1986

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Eisenstein seriesSelberg trace formulareductive algebraic groupsemisimple conjugacy classesSelberg-Arthur trace formulacuspidal automorphic data

Mathematics Subject Classification ID

Adèle rings and groups (11R56) 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 (26)

The dimensions of spaces of Siegel cusp forms of general degree ⋮ A trace formula for coverings of connected reductive groups. III: Development of spectral closure ⋮ On the continuity of the geometric side of the trace formula ⋮ The local behaviour of weighted orbital integrals ⋮ An approximation principle for congruence subgroups. II: Application to the limit multiplicity problem ⋮ Unnamed Item ⋮ Analytic torsion of arithmetic quotients of the symmetric space \(\mathrm{SL} (n,\mathbb{R})/ \mathrm{SO}(n)\) ⋮ The stable trace formula for the metaplectic group: the elliptic terms ⋮ The Trace Formula and Prehomogeneous Vector Spaces ⋮ Distribution of Hecke Eigenvalues for GL(n) ⋮ Asymptotics of Automorphic Spectra and the Trace Formula ⋮ A coarse geometric expansion of a variant of Arthur's truncated traces and some applications ⋮ Galois representations arising from some compact Shimura varieties ⋮ Weyl's law for the cuspidal spectrum of \(\mathrm{SL}_n\). ⋮ On the Arthur-Selberg trace formula for \(\mathrm{GL}(2)\) ⋮ Twisted Lefschetz number formula and 𝑝-adic trace formula ⋮ On the continuity of Arthur’s trace formula: the semisimple terms ⋮ Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\) ⋮ On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2 ⋮ On the unipotent contribution in Arthur's trace formula for general linear groups ⋮ On representations distinguished by unitary groups ⋮ The \(L^ 2\)-Lefschetz numbers of Hecke operators ⋮ On the asymptotics of Hecke operators for reductive groups ⋮ Le transfert singulier pour la formule des traces de Jacquet–Rallis ⋮ Bounds for global coefficients in the fine geometric expansion of Arthur's trace formula for GL(\(n\)) ⋮ LIMIT MULTIPLICITIES FOR PRINCIPAL CONGRUENCE SUBGROUPS OF AND

This page was built for publication: On a Family of Distributions obtained from Orbits