An invariant trace formula for rank one lattices

DOI10.1002/mana.1999.3212070106zbMath0972.11046OpenAlexW2137394942MaRDI QIDQ4704686

Werner Hoffmann

Publication date: 13 November 2001

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.1999.3212070106

zbMATH Keywords

Selberg trace formulaprehomogeneous vector spacesHecke operatorsunipotent orbitsinvariant trace formulareal semisimple Lie groupsweighted orbital integralrank one lattices

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Representations of Lie and linear algebraic groups over local fields (22E50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

The zeta functions of Ruelle and Selberg for hyperbolic manifolds with cusps ⋮ Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps

Cites Work

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• The trace formula for Hecke operators over rank one lattices
• The local behaviour of weighted orbital integrals
• Intertwining operators for semisimple groups. II
• The trace formula in invariant form
• The characters of discrete series as orbital integrals
• Intertwining operators and residues. I: Weighted characters
• An invariant trace formula for the universal covering group of \(\text{SL}(2,\mathbb{R})\)
• Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
• Self-adjoint groups
• The non-semi-simple term in the trace formula for rank one lattices.
• The Invariant Trace Formula. II. Global Theory
• The Selberg trace formula. I: Γ-rank one lattices.
• The Fourier transforms of weighted orbital integrals on simisimple groups of real rank one.

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