@article{1586678,
abstract = {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.},
author = {Hoffmann, Werner},
issn = {0232-704X},
journal = {ANNALS OF GLOBAL ANALYSIS AND GEOMETRY},
keyword = {trace formula, truncation, Harish-Chandra's Schwartz space},
number = {3},
pages = {233--261},
publisher = {SPRINGER},
title = {{Geometric estimates for the trace formula}},
doi = {10.1007/s10455-008-9105-0},
volume = {34},
year = {2008},
}