On the Arthur–Selberg trace formula for $\mathrm{GL}(2)$

Tobias Finis; Erez Lapid

doi:10.4171/ggd/132

JournalsggdVol. 5, No. 2pp. 367–391

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

Tobias Finis
Heinrich-Heine-Universität, Düsseldorf, Germany
Erez Lapid
Hebrew University, Jerusalem, Israel

$On the Arthur–Selberg trace formula for $\mathrm{GL}(2)$ cover$

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Abstract

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

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Tobias Finis, Erez Lapid, On the Arthur–Selberg trace formula for $GL (2)$ . Groups Geom. Dyn. 5 (2011), no. 2, pp. 367–391

DOI 10.4171/GGD/132