Groups, Geometry, and Dynamics

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Volume 5, Issue 2, 2011, pp. 367–391
DOI: 10.4171/GGD/132

Published online: 2011-03-06

On the Arthur–Selberg trace formula for GL(2)

Tobias Finis[1] and Erez Lapid[2]

(1) Heinrich-Heine-Universität, Düsseldorf, Germany
(2) Hebrew University, Jerusalem, Israel

We extend the terms on the geometric side of the trace formula for GL(2) over $\mathbb{Q}$ 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.

Keywords: Trace formula, automorphic forms

Finis Tobias, Lapid Erez: On the Arthur–Selberg trace formula for GL(2). Groups Geom. Dyn. 5 (2011), 367-391. doi: 10.4171/GGD/132