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On the continuity of Arthur’s trace formula: the semisimple terms

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  06 April 2011

Tobias Finis  and
Erez Lapid
Tobias Finis
Affiliation:
Mathematisches Institut der Heinrich-Heine-Universität Düsseldorf, Universitätsstr. 1, 40225, Düsseldorf, Germany (email: finis@math.uni-duesseldorf.de)
Erez Lapid
Affiliation:
Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel (email: erezla@math.huji.ac.il)
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Abstract

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We show that the semisimple part of the trace formula converges for a wide class of test functions.

Keywords

trace formula

MSC classification

Secondary: 11F72: Spectral theory; Selberg trace formula
Type
Research Article
Information
Compositio Mathematica , Volume 147 , Issue 3 , May 2011 , pp. 784 - 802
Copyright
Copyright © Foundation Compositio Mathematica 2011

References

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