We extend the terms on the geometric side of the trace formula for GL(2) over continuously to a natural Fréchet algebra of non-compactly supported test functions. For the spectral side the analogous result had been obtained previously (in much greater generality) in collaboration with W. Müller.
Cite this article
Tobias Finis, Erez Lapid, On the Arthur–Selberg trace formula for GL(2). Groups Geom. Dyn. 5 (2011), no. 2, pp. 367–391DOI 10.4171/GGD/132