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A relative Kuznietsov trace formula on G2
Authors:Dihua Jiang  Zhengyu Mao  Stephen Rallis
Affiliation:(1) School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA. e-mail: dhjiang@math.umn.edu, US;(2) Department of Mathematics and Computer Sciences, Rutgers University, Newark, NJ 07102, USA, US;(3) Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA, US
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)). Received: 6 February 1999
Keywords:Mathematics Subject Classification (1991): 11F   22E
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