previous :: next
An integral transform for $p$-adic symmetric spaces
Peter Schneider and Jeremy Teitelbaum
Source: Duke Math. J. Volume 86, Number 3
(1997), 391-433.
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/1077242844
Mathematical Reviews number (MathSciNet): MR1432303
Zentralblatt MATH identifier: 0885.14012
Digital Object Identifier: doi:10.1215/S0012-7094-97-08612-9
References
[B] K. Brown, Buildings, Springer-Verlag, New York, 1989.
Mathematical Reviews (MathSciNet): MR90e:20001
Zentralblatt MATH: 0715.20017
[BGR] S. Bosch, U. Güntzer, and R. Remmert, Non-Archimedean Analysis, Grundlehren Math. Wiss., vol. 261, Springer-Verlag, Berlin, 1984.
Mathematical Reviews (MathSciNet): MR86b:32031
Zentralblatt MATH: 0539.14017
[BS] A. Borel and J. P. Serre, Cohomologie d'immeubles et de groupes $S$-arithmétiques, Topology 15 (1976), no. 3, 211–232.
Mathematical Reviews (MathSciNet): MR56:5786
Zentralblatt MATH: 0338.20055
Digital Object Identifier: doi:10.1016/0040-9383(76)90037-9
[BT] F. Bruhat and J. Tits, Groupes réductifs sur un corps local, Inst. Hautes Études Sci. Publ. Math. (1972), no. 41, 5–251.
Mathematical Reviews (MathSciNet): MR48:6265
Zentralblatt MATH: 0254.14017
Digital Object Identifier: doi:10.1007/BF02715544
[BrT] F. Bruhat and J. Tits, Schémas en groupes et immeubles des groupes classiques sur un corps local, Bull. Soc. Math. France 112 (1984), no. 2, 259–301.
Mathematical Reviews (MathSciNet): MR86i:20064
Zentralblatt MATH: 0565.14028
[C] I. V. Čerednik, Uniformization of algebraic curves by discrete arithmetic subgroups of $\rm PGL\sb2(k\sbw)$ with compact quotient spaces, Mat. Sb. (N.S.) 100(142) (1976), no. 1, 59–88, 165.
Mathematical Reviews (MathSciNet): MR58:10909
Zentralblatt MATH: 0379.14010
[D] V. G. Drinfeld, Coverings of $p$-adic symmetric domains, Functional Anal. Appl. 10 (1976), 107–115.
Zentralblatt MATH: 0346.14010
Mathematical Reviews (MathSciNet): MR422290
[G] H. Garland, $p$-adic curvature and the cohomology of discrete subgroups of $p$-adic groups, Ann. of Math. (2) 97 (1973), 375–423.
Mathematical Reviews (MathSciNet): MR47:8719
Zentralblatt MATH: 0262.22010
Digital Object Identifier: doi:10.2307/1970829
JSTOR: links.jstor.org
[GI] O. Goldman and N. Iwahori, The space of $\germ p$-adic norms, Acta Math. 109 (1963), 137–177.
Mathematical Reviews (MathSciNet): MR26:2430
Zentralblatt MATH: 0133.29402
Digital Object Identifier: doi:10.1007/BF02391811
[J] J. Jantzen, Representations of Algebraic Groups, Pure Appl. Math., vol. 131, Academic Press, Boston, 1987.
Mathematical Reviews (MathSciNet): MR89c:20001
Zentralblatt MATH: 0654.20039
[Mor] Y. Morita, Analytic representations of $\rm SL\sb 2$ over a $\germ p$-adic number field. II, Automorphic forms of several variables (Katata, 1983), Progr. Math., vol. 46, Birkhäuser Boston, Boston, MA, 1984, pp. 282–297.
Mathematical Reviews (MathSciNet): MR86j:22027
Zentralblatt MATH: 0549.22008
[Mu] D. Mumford, An analytic construction of degenerating curves over complete local rings, Compositio Math. 24 (1972), 129–174.
Mathematical Reviews (MathSciNet): MR50:4592
Zentralblatt MATH: 0228.14011
[OT] P. Orlik and H. Terao, Arrangements of Hyperplanes, Grundlehren Math. Wiss., vol. 300, Springer-Verlag, Berlin, 1992.
Mathematical Reviews (MathSciNet): MR94e:52014
Zentralblatt MATH: 0757.55001
[S1] P. Schneider, Rigid-analytic $L$-transforms, Number Theory, Noordwijkerhout 1983 (Noordwijkerhout, 1983), Lecture Notes in Math., vol. 1068, Springer-Verlag, Berlin, 1984, pp. 216–230.
Mathematical Reviews (MathSciNet): MR86b:11043
Zentralblatt MATH: 0572.14014
[S2] P. Schneider, The cohomology of local systems on $p$-adically uniformized varieties, Math. Ann. 293 (1992), no. 4, 623–650.
Mathematical Reviews (MathSciNet): MR93k:14032
Zentralblatt MATH: 0774.14022
Digital Object Identifier: doi:10.1007/BF01444738
[SS] P. Schneider and U. Stuhler, The cohomology of $p$-adic symmetric spaces, Invent. Math. 105 (1991), no. 1, 47–122.
Mathematical Reviews (MathSciNet): MR92k:11057
Zentralblatt MATH: 0751.14016
Digital Object Identifier: doi:10.1007/BF01232257
[T1] J. Teitelbaum, Values of $p$-adic $L$-functions and a $p$-adic Poisson kernel, Invent. Math. 101 (1990), no. 2, 395–410.
Mathematical Reviews (MathSciNet): MR91m:11034
Zentralblatt MATH: 0731.11065
Digital Object Identifier: doi:10.1007/BF01231508
[T2] J. Teitelbaum, Modular representations of $\mathrm PGL_ 2$ and automorphic forms for Shimura curves, Invent. Math. 113 (1993), no. 3, 561–580.
Mathematical Reviews (MathSciNet): MR94h:11049
Zentralblatt MATH: 0806.11027
Digital Object Identifier: doi:10.1007/BF01244318
previous :: next
Duke Mathematical Journal