Kloosterman identities over a quadratic extension II
Annales scientifiques de l'École Normale Supérieure (2005)
- Volume: 38, Issue: 4, page 609-669
- ISSN: 0012-9593
Access Full Article
topHow to cite
topJacquet, Hervé. "Kloosterman identities over a quadratic extension II." Annales scientifiques de l'École Normale Supérieure 38.4 (2005): 609-669. <http://eudml.org/doc/82670>.
@article{Jacquet2005,
author = {Jacquet, Hervé},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {relative trace formula; fundamental lemma},
language = {eng},
number = {4},
pages = {609-669},
publisher = {Elsevier},
title = {Kloosterman identities over a quadratic extension II},
url = {http://eudml.org/doc/82670},
volume = {38},
year = {2005},
}
TY - JOUR
AU - Jacquet, Hervé
TI - Kloosterman identities over a quadratic extension II
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2005
PB - Elsevier
VL - 38
IS - 4
SP - 609
EP - 669
LA - eng
KW - relative trace formula; fundamental lemma
UR - http://eudml.org/doc/82670
ER -
References
top- [1] Arthur J., Clozel L., Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula, Ann. of Math. Stud., vol. 120, Princeton University Press, Princeton, NJ, 1989. Zbl0682.10022MR1007299
- [2] Casselman W., Shalika J., The unramified principal series of p-adic groups. II. The Whittaker function, Compositio Math.41 (1980) 207-231. Zbl0472.22005MR581582
- [3] Flicker Y., On distinguished representations, J. reine angew. Math.418 (1991) 139-172. Zbl0725.11026MR1111204
- [4] Goodman R., Wallach N., Representations and Invariants of the Classical Groups, Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, 1998. Zbl0948.22001MR1606831
- [5] Harder G., Langlands R., Rapoport M., Algebraische Zyklen auf Hilbert–Blumenthal–Flächen, J. reine angew. Math.366 (1986) 53-120. Zbl0575.14004MR833013
- [6] Jacquet H., Kloosterman Identities over a quadratic extension, Ann. of Math., submitted for publication. Zbl1071.11026
- [7] Jacquet H., Rallis S., Kloosterman integrals for skew symmetric matrices, Pacific J. Math.154 (2) (1992) 265-283. Zbl0778.11032MR1159511
- [8] Jacquet H., Ye Y., Une remarque sur le changement de base quadratique, C. R. Acad. Sci. Paris Sér. I Math.311 (1990) 671-676. Zbl0715.11026MR1081622
- [9] Kottwitz R., Base change for unit elements of Hecke algebras, Compositio Math.60 (1986) 237-250. MR868140
- [10] Lapid E., On the fine spectral expansion of Jacquet's relative trace formula, Preprint. Zbl1195.11071
- [11] Lapid E., Rogawski J., Periods of Eisenstein series: the Galois case, Duke Math. J.120 (2003) 153-226. Zbl1037.11033MR2010737
- [12] Lapid E., Rogawski J., Stabilization of periods of integrals of Eisenstein series and Bessel distributions on relative to , Doc. Math.5 (2000) 317-350. Zbl0983.11022MR1767567
- [13] Macdonald I.G., Symmetric Functions and Orthogonal Polynomials, Amer. Math. Soc. Univ. Lecture Ser., vol. 12, 1991. Zbl0887.05053MR1488699
- [14] Mao Z., Rallis S., Howe duality and the trace formula, Pacific J. Math.191 (2) (1999) 329-346. Zbl1008.22008MR1738188
- [15] Ngô B.C., Le lemme fondamental de Jacquet et Ye en caractéristique positive, Duke Math. J.96 (1999) 473-520. Zbl1047.11517MR1671212
- [16] Shalika J., The multiplicity one theorem for , Ann. of Math.100 (2) (1974) 171-193. Zbl0316.12010MR348047
- [17] Shintani T., On an explicit formula for class-1 Whittaker functions on overP-adic fields, Proc. Japan Acad.52 (1976) 180-182. Zbl0387.43002MR407208
- [18] Ye Y., Kloosterman integrals and base change for , J. reine angew. Math.400 (1989) 57-121. Zbl0665.10020MR1013725
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.