On the tempered spectrum of quasi-split classical groups
David Goldberg and Freydoon Shahidi
Source: Duke Math. J. Volume 92, Number 2
(1998), 255-294.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077231485
Mathematical Reviews number (MathSciNet): MR1612785
Zentralblatt MATH identifier: 0938.22014
Digital Object Identifier: doi:10.1215/S0012-7094-98-09206-7
References
[1] J. Arthur, The local behaviour of weighted orbital integrals, Duke Math. J. 56 (1988), no. 2, 223–293.
Mathematical Reviews (MathSciNet): MR89h:22036
Zentralblatt MATH: 0649.10020
Digital Object Identifier: doi:10.1215/S0012-7094-88-05612-8
Project Euclid: euclid.dmj/1077306597
[2] J. Arthur, Unipotent automorphic representations: conjectures, Astérisque (1989), no. 171-172, 13–71.
Mathematical Reviews (MathSciNet): MR91f:22030
Zentralblatt MATH: 0728.22014
[3] J. Arthur, Unipotent automorphic representations: global motivation, Automorphic forms, Shimura varieties, and $L$-functions, Vol. I (Ann Arbor, MI, 1988) eds. L. Clozel and J. S. Milne, Perspect. Math., vol. 10, Academic Press, Boston, MA, 1990, pp. 1–75.
Mathematical Reviews (MathSciNet): MR92a:11059
Zentralblatt MATH: 0692.10027
[4] I. N. Bernšteĭ n 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.
Mathematical Reviews (MathSciNet): MR54:12988
Zentralblatt MATH: 0342.43017
[5] A. Borel, Automorphic $L$-functions, Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 2, Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 27–61.
Mathematical Reviews (MathSciNet): MR81m:10056
Zentralblatt MATH: 0412.10017
[6] L. Clozel, Characters of nonconnected, reductive $p$-adic groups, Canad. J. Math. 39 (1987), no. 1, 149–167.
Mathematical Reviews (MathSciNet): MR88i:22039
Zentralblatt MATH: 0629.22008
[7] L. Clozel, Invariant harmonic analysis on the Schwartz space of a reductive $p$-adic group, Harmonic analysis on reductive groups (Brunswick, ME, 1989) eds. W. Barker and P. Sally, Progr. Math., vol. 101, Birkhäuser Boston, Boston, MA, 1991, pp. 101–121.
Mathematical Reviews (MathSciNet): MR93h:22020
Zentralblatt MATH: 0760.22023
[8] D. Goldberg, Some results on reducibility for unitary groups and local Asai $L$-functions, J. Reine Angew. Math. 448 (1994), 65–95.
Mathematical Reviews (MathSciNet): MR95g:22031
Zentralblatt MATH: 0815.11029
Digital Object Identifier: doi:10.1515/crll.1994.448.65
[9] D. Goldberg, Reducibility of induced representations for $\rm Sp(2n)$ and $\rm SO(n)$, Amer. J. Math. 116 (1994), no. 5, 1101–1151.
Mathematical Reviews (MathSciNet): MR95g:22016
Zentralblatt MATH: 0851.22021
Digital Object Identifier: doi:10.2307/2374942
JSTOR: links.jstor.org
[10] Harish-Chandra, Harmonic analysis on reductive $p$-adic groups, Lecture Notes in Math., vol. 162, Springer-Verlag, Berlin, 1970, Notes by G. van Dijk.
Mathematical Reviews (MathSciNet): MR54:2889
Zentralblatt MATH: 0202.41101
[11] Harish-Chandra, Harmonic analysis on reductive $p$-adic groups, Harmonic analysis on homogeneous spaces (Proc. Sympos. Pure Math., Vol. XXVI, Williams Coll., Williamstown, Mass., 1972), Amer. Math. Soc., Providence, R.I., 1973, pp. 167–192.
Mathematical Reviews (MathSciNet): MR49:5238
Zentralblatt MATH: 0289.22018
[12] D. Kazhdan, Cuspidal geometry of $p$-adic groups, J. Analyse Math. 47 (1986), 1–36.
Mathematical Reviews (MathSciNet): MR88g:22017
Zentralblatt MATH: 0634.22009
Digital Object Identifier: doi:10.1007/BF02792530
[13] R. Kottwitz and D. Shelstad, Twisted endoscopy, II: Basic global theory, preprint.
[14] R. Kottwitz and D. Shelstad, twisted endoscopy, I: Definitions, norm mappings, and transfer factors, preprint.
[15] R. Kottwitz and J. D. Rogawski, The distributions in the invariant trace formula are supported on characters, preprint.
Mathematical Reviews (MathSciNet): MR1767403
[16] R. P. Langlands and D. Shelstad, On the definition of transfer factors, Math. Ann. 278 (1987), no. 1-4, 219–271.
Mathematical Reviews (MathSciNet): MR89c:11172
Zentralblatt MATH: 0644.22005
Digital Object Identifier: doi:10.1007/BF01458070
[17] O. T. O'Meara, Introduction to quadratic forms, Die Grundlehren der mathematischen Wissenschaften, Bd. 117, Academic Press Inc., Publishers, New York, 1963.
Mathematical Reviews (MathSciNet): MR27:2485
Zentralblatt MATH: 0107.03301
[18] I. Satake, Classification theory of semi-simple algebraic groups, Lecture Notes in Pure and Appl. Math., vol. 3, Marcel Dekker Inc., New York, 1971.
Mathematical Reviews (MathSciNet): MR47:5135
Zentralblatt MATH: 0226.20037
[19] F. Shahidi, On certain $L$-functions, Amer. J. Math. 103 (1981), no. 2, 297–355.
Mathematical Reviews (MathSciNet): MR82i:10030
Zentralblatt MATH: 0467.12013
Digital Object Identifier: doi:10.2307/2374219
JSTOR: links.jstor.org
[20] F. Shahidi, A proof of Langlands' conjecture on Plancherel measures; complementary series for $p$-adic groups, Ann. of Math. (2) 132 (1990), no. 2, 273–330.
Mathematical Reviews (MathSciNet): MR91m:11095
Zentralblatt MATH: 0780.22005
Digital Object Identifier: doi:10.2307/1971524
JSTOR: links.jstor.org
[21] F. Shahidi, Twisted endoscopy and reducibility of induced representations for $p$-adic groups, Duke Math. J. 66 (1992), no. 1, 1–41.
Mathematical Reviews (MathSciNet): MR93b:22034
Zentralblatt MATH: 0785.22022
Digital Object Identifier: doi:10.1215/S0012-7094-92-06601-4
Project Euclid: euclid.dmj/1077294663
[22] F. Shahidi, The notion of norm and the representation theory of orthogonal groups, Invent. Math. 119 (1995), no. 1, 1–36.
Mathematical Reviews (MathSciNet): MR96e:22034
Zentralblatt MATH: 0852.22016
Digital Object Identifier: doi:10.1007/BF01245173
[23] S. Shokranian, Geometric expansion of the local twisted trace formula, preprint.
[24] A. J. Silberger, Introduction to harmonic analysis on reductive $p$-adic groups, Mathematical Notes, vol. 23, Princeton University Press, Princeton, N.J., 1979.
Mathematical Reviews (MathSciNet): MR81m:22025
Zentralblatt MATH: 0458.22006
Duke Mathematical Journal