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A Note on the Relative Trace Formula

Published online by Cambridge University Press:  20 November 2018

Jason Levy
Jason Levy*
Affiliation:
School of Mathematics, University of Chicago, Chicago, Illinois 60637, U.S.A. e-mail:[email protected]
*
Current address: School of Mathematics, Institute for Advanced Study, Olden Lane Princeton, New Jersey 08540, U.S.A.
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Abstract

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This paper deals with the relative trace formula in the case of base change. Two truncations of the kernel are introduced, both based on the ideas of Arthur, and their integrals are shown to be asymptotic to each other. We also consider products of the kernel with automorphic forms, as these appear when comparing trace formulae (see [5]).

Keywords

22E5511F72
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 4 , 01 December 1995 , pp. 450 - 461
Copyright
Copyright © Canadian Mathematical Society 1995

Footnotes

Supported by an NSERC Postdoctoral Fellowship and NSF grant DMS 9304580.

References

1. Arthur, J., A trace formula for reductive groups I: terms associated to classes in G(Q), Duke Math J. 45(1978), 911–952.Google Scholar
2. Arthur, J., A measure on the unipotent variety, Canad. J. Math 37(1985), 1237–1274.Google Scholar
3. Humphreys, J. E., Introduction to Lie algebras and representation theory, Graduate Texts in Math. 9,Springer-Verlag 1972.Google Scholar
4. Jacquet, H. and Lai, K. F., A Relative Trace Formula, Compositio Math. 54(1985), 243–301.Google Scholar
5. Hervé Jacquet, King Lai, F., and Rallis, Stephen, A trace formula for symmetric spaces, Duke Math J. 2,305–372 Google Scholar
6. Lai, K. F., On Arthur s Class Expansion of the Relative Trace Formula, Duke Math J. (1) 64(1991), 111–117 Google Scholar