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Creators/Authors contains: "Xi, Guodong"

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  1. ; ; (, Research in Number Theory)
    We prove the uniqueness of the Ginzburg–Rallis models over p-adic local fields of characteristic zero, which completes the local uniqueness problem for the Ginzburg–Rallis models, starting from the work of Nien (Models of representations of general linear groups over p-adic fields, ProQuest LLC, Ann Arbor, MI, Thesis (Ph.D.)-University of Minnesota, 2006) that proves the non-split case, and the work of Jiang et al. (Trans Am Math Soc 363(5): 2763–2802, 2011) that proves the general case over Archimedean local fields. Our proof extends the strategy of [16] to the p-adic case with the help of the refined structure of the wavefront sets of z-finite distributions as developed by Aizenbud et al. (Adv Math 285:1376–1414,2015). 
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    Free, publicly-accessible full text available March 1, 2026