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manuscripta mathematica

, Volume 99, Issue 3, pp 411–423 | Cite as

A relative Kuznietsov trace formula on G2

  • Dihua Jiang
  • Zhengyu Mao
  • Stephen Rallis

Abstract:

In this paper, we set up the general formulation to study distinguished residual representations of a reductive group G by the relative trace formula approach. This approach simplifies the argument of [JR], which deals with this type of relative trace formula for a special symmetric pair (GL(2n), Sp(2n)) and also works for non-symmetric, spherical pairs. To illustrate our idea and method, we complete our relative trace formula (both the geometric side identity and the spectral side identity) for the case (G 2, SL(3)).

Mathematics Subject Classification (1991): 11F, 22E 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Dihua Jiang
    • 1
  • Zhengyu Mao
    • 2
  • Stephen Rallis
    • 3
  1. 1.School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA. e-mail: dhjiang@math.umn.eduUS
  2. 2.Department of Mathematics and Computer Sciences, Rutgers University, Newark, NJ 07102, USAUS
  3. 3.Department of Mathematics, The Ohio State University, Columbus, OH 43210, USAUS

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