Open AccessOn the Arthur–Selberg trace formula for $\mathrm{GL}(2)$
Author(s) -
Tobias Finis,
Erez Lapid
Publication year - 2011
Publication title -
groups geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.05
H-Index - 25
eISSN - 1661-7215
pISSN - 1661-7207
DOI - 10.4171/ggd/132
Subject(s) - mathematics , selberg trace formula , trace (psycholinguistics) , pure mathematics , combinatorics , algebra over a field , philosophy , linguistics , riemann hypothesis
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. Mathematics Subject Classification (2010). 11F72, 11F41.
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