2023/05/27 by Dihua Jiang, Jiang, Dihua, Zhaolin Li +3
Mathematics · Computer Science · #advanced mathematical theories #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2305.19281
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 C.-F. Nien in \citeMR2709083 that proves the non-split case, and the work of D. Jiang, B. Sun and C. Zhu in \citeMR2763736 that proves the general case over Archimedean local fields. Our proof extends the strategy of \citeMR2763736 to the p-adic case with the help of the refined structure of the wavefront sets of \mathfrak z-finite distributions as developed by A. Aizenbud, D. Gourevitch and E. Sayag in \citeMR3406530.