Geodesic
On the Arthur–Selberg trace formula for $\mathrm{GL}(2)$
Tobias Finis1 ; Erez Lapid2
1Heinrich-Heine-Universität, Düsseldorf, Germany
2Hebrew University, Jerusalem, Israel
Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 367-391

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DOI

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.
DOI : 10.4171/ggd/132
Classification : 11-XX, 00-XX
Mots-clés : Trace formula, automorphic forms

Tobias Finis  1   ; Erez Lapid  2

1 Heinrich-Heine-Universität, Düsseldorf, Germany
2 Hebrew University, Jerusalem, Israel 
Tobias Finis; Erez Lapid. On the Arthur–Selberg trace formula for $\mathrm{GL}(2)$. Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 367-391. doi: 10.4171/ggd/132
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     title = {On the {Arthur{\textendash}Selberg} trace formula for $\mathrm{GL}(2)$},
     journal = {Groups, geometry, and dynamics},
     pages = {367--391},
     year = {2011},
     volume = {5},
     number = {2},
     doi = {10.4171/ggd/132},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/132/}
}
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