On the global Gan–Gross–Prasad conjecture for unitary groups: Approximating smooth transfer of Jacquet–Rallis

References

[1] A. Aizenbud, A partial analog of the integrability theorem for distributions on p-adic spaces and applications, Israel J. Math. 193 (2013), no. 1, 233–262. 10.1007/s11856-012-0088-ySuche in Google Scholar

[2] A. Aizenbud and D. Gourevitch, Schwartz functions on Nash manifolds, Int. Math. Res. Not. IMRN 2008 (2008), no. 5, Article ID rnm 155. 10.1093/imrn/rnm155Suche in Google Scholar

[3] A. Aizenbud and D. Gourevitch, Generalized Harish-Chandra descent, Gelfand pairs, and an archimedean analog of Jacquet–Rallis’s theorem, Duke Math. J. 149 (2009), no. 3, 509–567. 10.1215/00127094-2009-044Suche in Google Scholar

[4] A. Aizenbud, D. Gourevitch, S. Rallis and G. Schiffmann, Multiplicity one theorems, Ann. of Math. (2) 172 (2010), no. 2, 1407–1434. 10.4007/annals.2010.172.1407Suche in Google Scholar

[5] I. N. Bernšteĭn and A. V. Zelevinskiĭ, Representations of the group GL⁢(n,f), where f is a local non-archimedean field, Uspehi Mat. Nauk 31 (1976), no. 3(189), 5–70. 10.1070/RM1976v031n03ABEH001532Suche in Google Scholar

[6] R. Beuzart-Plessis, Comparison of local spherical characters and the Ichino–Ikeda conjecture for unitary groups, preprint (2016), https://arxiv.org/abs/1602.06538. Suche in Google Scholar

[7] Y. Z. Flicker, On distinguished representations, J. reine angew. Math. 418 (1991), 139–172. 10.1515/crll.1991.418.139Suche in Google Scholar

[8] W. T. Gan, B. H.  Gross and D. Prasad, Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups, Sur les conjectures de Gross et Prasad. I, Astérisque 346, Société Mathématique de France, Paris (2012), 1–109. Suche in Google Scholar

[9] S. Gelbart, H. Jacquet and J. Rogawski, Generic representations for the unitary group in three variables, Israel J. Math. 126 (2001), 173–237. 10.1007/BF02784154Suche in Google Scholar

[10] H. Jacquet, Sur un résultat de Waldspurger, Ann. Sci. Éc. Norm. Supér. (4) 19 (1986), no. 2, 185–229. 10.24033/asens.1506Suche in Google Scholar

[11] H. Jacquet, Archimedean Rankin–Selberg integrals, Automorphic forms and L-functions II. Local aspects, Contemp. Math. 489, American Mathematical Society, Providence (2009), 57–172. 10.1090/conm/489/09547Suche in Google Scholar

[12] H. Jacquet and S. Rallis, On the Gross–Prasad conjecture for unitary groups, On certain L-functions (West Lafayette 2007), Clay Math. Proc. 13, American Mathematical Society, Providence (2011), 205–264. Suche in Google Scholar

[13] T. Kaletha, Endoscopic classification of representations: Inner forms of unitary groups, preprint (2014), https://arxiv.org/abs/1409.3731v3. Suche in Google Scholar

[14] C. P. Mok, Endoscopic classification of representations of quasi-split unitary groups, Mem. Amer. Math. Soc. 235 (2015), no. 1108. 10.1090/memo/1108Suche in Google Scholar

[15] B. Sun and C.-B. Zhu, Multiplicity one theorems: The archimedean case, Ann. of Math. (2) 175 (2012), no. 1, 23–44. 10.4007/annals.2012.175.1.2Suche in Google Scholar

[16] N. R. Wallach, Real reductive groups, Vol. I, Pure Appl. Math. 132, Academic Press, Boston 1988. Suche in Google Scholar

[17] H. Xue, The Gan–Gross–Prasad conjecture for U⁢(n)×U⁢(n), Adv. Math. 262 (2014), 1130–1191. 10.1016/j.aim.2014.06.010Suche in Google Scholar

[18] Z. Yun, The fundamental lemma of Jacquet and Rallis, Duke Math. J. 156 (2011), no. 2, 167–227. 10.1215/00127094-2010-210Suche in Google Scholar

[19] W. Zhang, Fourier transform and the global Gan–Gross–Prasad conjecture for unitary groups, Ann. of Math. (2) 180 (2014), no. 3, 971–1049. 10.4007/annals.2014.180.3.4Suche in Google Scholar