On the spectral side of Arthur’s trace formula — absolute convergence

Pages 173-195 from Volume 174 (2011), Issue 1 by Tobias Finis, Erez Lapid, Werner Müller

Abstract

We derive a refinement of the spectral expansion of Arthur’s trace formula. The expression is absolutely convergent with respect to the trace norm.

Keywords
DOI
https://doi.org/http://doi.org/10.4007/annals.2011.174.1.5
MR
2811597
zbMATH
05960699
Milestones
Received: 26 September 2007
Revised: 6 December 2010
Accepted: 4 December 2010
Published online: 1 July 2011

Authors

Tobias Finis

Lehrstuhl für Algebra und Zahlentheorie
Mathematisches Institut der Heinrich-Heine-Universität Düsseldorf
Universitätstrasse. 1
40225 Düsseldorf, Germany

Erez Lapid

Institute of Mathematics
Hebrew University of Jerusalem
Jerusalem 91904
Israel

Werner Müller

Mathematisches Institut
Rheinische
Friedrich-Wilhelms-Universität Bonn
53012 Bonn
Germany