Intégrabilité locale des caractères-distributions de GL N (F)F est un corps local non-archimédien de caractéristique quelconque
Compositio Mathematica, Tome 100 (1996) no. 1, p. 41-75
@article{CM_1996__100_1_41_0,
     author = {Lemaire, Bertrand},
     title = {Int\'egrabilit\'e locale des caract\`eres-distributions de $GL\_{N}(F)$ o\`u $F$ est un corps local non-archim\'edien de caract\'eristique quelconque},
     journal = {Compositio Mathematica},
     publisher = {Kluwer Academic Publishers},
     volume = {100},
     number = {1},
     year = {1996},
     pages = {41-75},
     zbl = {0856.22024},
     mrnumber = {1377408},
     language = {fr},
     url = {http://www.numdam.org/item/CM_1996__100_1_41_0}
}
Lemaire, Bertrand. Intégrabilité locale des caractères-distributions de $GL_{N}(F)$ où $F$ est un corps local non-archimédien de caractéristique quelconque. Compositio Mathematica, Tome 100 (1996) no. 1, pp. 41-75. http://www.numdam.org/item/CM_1996__100_1_41_0/

[Bou] N. Bourbaki, Eléments de mathématiques: Algèbre Ch. VII, Hermann, Paris, 1958. | Zbl 0455.18010

N. Bourbaki, Eléments de mathématiques: Variétés différentielles et analytiques, fascicule de résultats (nouveau tirage), c.c.l.s. diffusion, Paris, 1982.

[Bu] C.J. Bushnell, Hereditary orders, Gauss sums and supercuspidalrepresentations of GL(N), J. reine angew Math. 375/376 (1987), 184-220. | MR 882297 | Zbl 0601.12025

[Be-Ze] I.N. Bernstein & A.V. Zelevinsky, Representations of the group GL(N, F) where F is a local non-archimedean field, Usp. Mat. Nauk. 31,.n° 3 (1976), 5-70. | MR 425030 | Zbl 0348.43007

[Bu-Ku] C.J. Bushnell & P.C. Kutzko, The admissible dual of GL(N) via compact open subgroups, Ann. of Math. Studies, vol. 129, Princeton U. Press, Princeton, New Jersey, 1993. | MR 1204652 | Zbl 0787.22016

[Cl 1] L. Clozel, Characters of non-connected, reductive p -adic groups, Canad. J. Math. 34 (1987), 149-167. | MR 889110 | Zbl 0629.22008

[Cl 2] L. Clozel, Orbital integrals on p-adic groups: a proof of the Howe conjecture, Ann. Math. 129 (1989), 237-251. | MR 986793 | Zbl 0675.22007

[Cl 3] L. Clozel, Invariant harmonic analysis on the Schwartz space of a reductive p-adic group in Harmonic Analysis on Reductive p-adic groups, Proc. Bowdoin conf. 1989, Progress in Math. vol. 101 (W. Barker, P. Sally, ed.), Birkhäuser, Boston, 1991, 101-121. | MR 1168480 | Zbl 0760.22023

[Ha 1] Harish-Chandra, Invariant distributions on Lie Algebras, Amer. J. Math. 86 (1964), 271-309. | MR 161940 | Zbl 0131.33302

[Ha 2] Harish-Chandra, Harmonic analysis on reductive p-adic groups, Lectures Notes in Math., vol. 162, Springer-Verlag, Berlin-Heidelberg-New York, 1970. | MR 414797 | Zbl 0202.41101

[Ha 3] Harish-Chandra, Admissible invariant distributions on reductive p-adic groups, Queen's Papers in Pure and Applied Math. 48 (1978), 377-380.

[Ho] R. Howe, The Fourier transform and germs of characters, Math. Ann. 208 (1974), 305-322. | MR 342645 | Zbl 0266.43007

[Ka] D. Kazhdan, Cuspidal geometry of p-adic groups, J. Analyse Math. 47 (1986), 1-36. | MR 874042 | Zbl 0634.22009

[La] G. Laumon, Cohomology with compact supports of Drinfeld modular varieties (Part 1). Publ. Math. U. Paris-Sud, 1991.

[Le] B. Lemaire, Thèse, univ. Paris-Sud, 8 février 1994.

[Ro] F. Rodier, Intégrabilité locale des caractères du groupe GL(n, k) où k est un corps local de caractéristique positive, Duke Math. J. 85 (1985), 771-792. | MR 808104 | Zbl 0609.22004

[Rog] J.D. Rogawski, Representations of GL(n) and division algebras over a p-adic field, Duke Math. J. 50 (1983), 161-196. | MR 700135 | Zbl 0523.22015

[Se] J.-P. Serre, Corps locaux, Hermann, Paris, 1962. | MR 354618 | Zbl 0137.02601

[Si] A.J. Silberger, Introduction to harmonic analysis on reductive p-adic groups, Mathematical Notes, vol. 23, Princeton Univ. Press, Princeton, New Jersey, 1979. | MR 544991 | Zbl 0458.22006