The Selberg trace formula. II. Partition, reduction, truncation

M. Scott Osborne and Garth William Warner, Jr.

Vol. 106 (1983), No. 2, 307–496

DOI: 10.2140/pjm.1983.106.307

Abstract

Let G be a reductive Lie group; let Γ be a non-uniform lattice in G. Here we shall lay the analytic and geometric foundations on which the derivation of the Selberg trace formula for the pair (G,Γ) will eventually be based.

Mathematical Subject Classification 2000

Primary: 22E40

Secondary: 11F70, 11F72

Milestones

Received: 30 March 1981

Published: 1 June 1983