TY - JOUR
T1 - A relative Kuznietsov trace formula on G2
AU - Jiang, Dihua
AU - Mao, Zhengyu
AU - Rallis, Stephen
PY - 1999/7
Y1 - 1999/7
N2 - 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 (G2, SL(3)).
AB - 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 (G2, SL(3)).
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U2 - 10.1007/s002290050182
DO - 10.1007/s002290050182
M3 - Article
AN - SCOPUS:0033161853
SN - 0025-2611
VL - 99
SP - 411
EP - 423
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 3
ER -