A relative Kuznietsov trace formula on G(2)

Citation
Dh. Jiang et al., A relative Kuznietsov trace formula on G(2), MANUSC MATH, 99(3), 1999, pp. 411-423
Citations number
15
Categorie Soggetti
Mathematics
Journal title
MANUSCRIPTA MATHEMATICA
ISSN journal
00252611 → ACNP
Volume
99
Issue
3
Year of publication
1999
Pages
411 - 423
Database
ISI
SICI code
0025-2611(199907)99:3<411:ARKTFO>2.0.ZU;2-M
Abstract
In this paper, we set up the general formulation to study distinguished res idual representations of a reductive group G by the relative trace formula approach. This approach simplifies the argument of [JR], which deals with t his 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)).