TY - JOUR
AB - In order to study the asymptotic distribution of geometric or spectral data associated with quotients of a reductive group by a lattice, one needs a trace formula for test functions on that group with noncompact support. Arthur has proved a trace formula for compactly supported test functions on reductive groups of arbitrary rank. We show that the coarse geometric expansion in his formula converges for rapidly decreasing functions.
AU - Hoffmann, Werner
ID - 1586678
IS - 3
JF - ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
KW - trace formula
KW - truncation
KW - Harish-Chandra's Schwartz space
SN - 0232-704X
TI - Geometric estimates for the trace formula
VL - 34
ER -