The trace formula for Hecke operators over rank one lattices

DOI10.1016/0022-1236(89)90104-3zbMath0699.22016OpenAlexW1975874833MaRDI QIDQ912993

Werner Hoffmann

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90104-3

zbMATH Keywords

Hecke operatororbital integralsleft regular representationtrace-class\(K\)-finitenesslattice of rank onereal reductive group

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Analysis on (p)-adic Lie groups (22E35) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Analysis on other specific Lie groups (43A80)

Related Items

An invariant trace formula for the universal covering group of \(\text{SL}(2,\mathbb{R})\) ⋮ Subconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups ⋮ An invariant trace formula for rank one lattices

Cites Work

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• Kazhdan groups acting on compact manifolds
• Eigenvalue estimates for certain noncompact manifolds
• The non-semi-simple term in the trace formula for rank one lattices.
• The Selberg trace formula. I: Γ-rank one lattices.