@incollection{AST_2002__278__51_0,
author = {Schneider, Peter and Teitelbaum, Jeremy},
title = {$p$-adic boundary values},
booktitle = {Cohomologies $p$-adiques et applications arithm\'etiques (I)},
editor = {Berthelot Pierre and Fontaine Jean-Marc and Illusie Luc and Kato Kazuya and Rapoport Michael},
series = {Ast\'erisque},
pages = {51--125},
year = {2002},
publisher = {Soci\'et\'e math\'ematique de France},
number = {278},
mrnumber = {1922824},
zbl = {1051.14024},
language = {en},
url = {https://www.numdam.org/item/AST_2002__278__51_0/}
}
TY - CHAP AU - Schneider, Peter AU - Teitelbaum, Jeremy TI - $p$-adic boundary values BT - Cohomologies $p$-adiques et applications arithmétiques (I) AU - Collectif ED - Berthelot Pierre ED - Fontaine Jean-Marc ED - Illusie Luc ED - Kato Kazuya ED - Rapoport Michael T3 - Astérisque PY - 2002 SP - 51 EP - 125 IS - 278 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_2002__278__51_0/ LA - en ID - AST_2002__278__51_0 ER -
%0 Book Section %A Schneider, Peter %A Teitelbaum, Jeremy %T $p$-adic boundary values %B Cohomologies $p$-adiques et applications arithmétiques (I) %A Collectif %E Berthelot Pierre %E Fontaine Jean-Marc %E Illusie Luc %E Kato Kazuya %E Rapoport Michael %S Astérisque %D 2002 %P 51-125 %N 278 %I Société mathématique de France %U https://www.numdam.org/item/AST_2002__278__51_0/ %G en %F AST_2002__278__51_0
Schneider, Peter; Teitelbaum, Jeremy. $p$-adic boundary values, dans Cohomologies $p$-adiques et applications arithmétiques (I), Astérisque, no. 278 (2002), pp. 51-125. https://www.numdam.org/item/AST_2002__278__51_0/
[Ber] : Spectral theory and analytic geometry over non-archimedean fields. Providence: AMS 1990. | MR | Zbl
[Be2] : The automorphism group of the Drinfeld half-plane. C. R. Acad. Sci. Paris 321, 1127-1132 (1995). | MR | Zbl
[BS] , : Cohomologie d'immeubles et de groupes -arithmétiques. Topology 15, 211-232 (1976). | MR | Zbl | DOI
[B-GT] : General Topology, 2 vol. Berlin-Heidelberg-New York: Springer 1989.
[B-GAL] : Groupes et algèbres de Lie, Chap. 2 et 3. Paris: Hermann 1972. | MR | Zbl
[B-TG3] : Topologie Générale, 3ème ed. Paris: Hermann 1961. | MR
[B-TVS] : Topological Vector Spaces. Berlin-Heidelberg-New York: Springer 1987. | MR | Zbl | DOI
[B-VAR] : Variétés différentielles et analytiques. Fascicule de résultats. Paris: Hermann 1967. | Zbl
[DeG] : -compactness in locally -convex spaces. Indagationes Math. 74, 176-180 (1971). | MR | Zbl | DOI
[GKPS] , , , : -adic locally convex inductive limits. In -adic functional analysis, Proc. Int. Conf. Nijmegen 1996 (Eds. Schikhof, Perez-Garcia, Kakol), Lect. Notes Pure Appl. Math., vol. 192, pp. 159-222. New York: M. Dekker 1997. | MR | Zbl
[Fea] : Einige Resultate über die topologischen Darstellungen -adischer Liegruppen auf unendlich dimensionalen Vektorräumen über einem -adischen Körper. Thesis, Köln 1997, Schriftenreihe Math. Inst. Univ. Münster, 3. Serie, Heft 23, pp. 1-111 (1999). | MR | Zbl
[GKZ] , , : Generalized Euler integrals and -hypergeometric functions. Adv. Math. 84, 255-271 (1990). | MR | Zbl | DOI
[GV] , : Heaviside functions of a configuration of hyperplanes. Funct. Anal. Appl. 21, 255-270 (1987). | Zbl | MR
[GK] , : On some non-archimedean closed graph theorems. In -adic functional analysis, Proc. Int. Conf. Nijmegen 1996 (eds. Schikhof, Perez-Garcia, Kakol), Lect. Notes Pure Appl. Math., vol. 192, pp. 153-158. New York: M. Dekker 1997. | MR | Zbl
[Har] : Algebraic Geometry. Berlin-Heidelberg-New York: Springer 1977. | MR | Zbl | DOI
[Hel] : Differential Geometry, Lie Groups, and Symmetric Spaces. New York: Academic Press 1978. | MR | Zbl
[Kom] : Projective and injective limits of weakly compact sequences of locally convex spaces. J. Math. Soc. Japan 19, 366-383 (1967). | MR | Zbl | DOI
[Mol] : A -Adic Theory of Hyperfunctions, I. Publ. RIMS, Kyoto Univ. 17, 1-24 (1981). | MR | Zbl | DOI
[Mo2] , : Analytic representations of over a -adic number field. J. Fac. Sci. Univ. Tokyo 28, 891-905 (1982). | MR | Zbl
[Mo3] : Analytic representations of over a -adic number field, II. In Automorphic Forms of Several Variables, Taniguchi Symp. Katata 1983. Progress in Math. 46, pp. 282-297. Boston-Basel-Stutt-gart: Birkhäuser 1984. | MR | Zbl
[Mo4] : Analytic Representations of over a -Adic Number Field, III. In Automorphic Forms and Number Theory, Adv. Studies Pure Math. 7, pp. 185-222. Tokyo: Kinokuniya 1985. | MR | Zbl | DOI
[Mo5] , : Duality of projective limit spaces and inductive limit spaces over a nonspherically complete nonarchimedean field. Tohoku Math. J. 38, 387-397 (1986). | MR | Zbl | DOI
[Mo6] : A -adic Theory of Hyperfunctions, II. In Algebraic Analysis vol. I (eds. Kashiwara, Kawai), pp.457-472. San Diego: Academic Press 1988. | MR | Zbl | DOI
[Mum] , : Geometric Invariant Theory. Second Edition. Berlin-Heidelberg-New York: Springer 1982. | MR | Zbl
[RZ] , : Period spaces for -divisible groups. Annals of Math. Studies, vol. 141. Princeton University Press 1996. | MR | Zbl
[SS] , : The cohomology of -adic symmetric spaces. Invent. math. 105, 47-122 (1991). | MR | Zbl | EuDML | DOI
[Sch] : The cohomology of local systems on -adically uniformized varieties. Math. Ann. 293, 623-650 (1992). | MR | Zbl | EuDML | DOI
[ST] , : An integral transform for -adic symmetric spaces. Duke Math. J. 86, 391-433 (1997). | MR | Zbl | DOI
[Tie] : Espaces localement -convexes I-III. Indagationes Math. 27, 249-258, 259-272, 273-289 (1965). | Zbl | MR | DOI
[Var] : -adic uniformization of unitary Shimura varieties. Thesis, Hebrew University, Jerusalem. | Zbl | Numdam | DOI
[War] : Harmonic Analysis on Semi-Simple Lie Groups I. Berlin-Heidelberg-New York: Springer 1972. | MR | Zbl
[EGAIV] , : Eléments de Géométrie Algébrique IV. Étude locale des schémas et des morphismes de schémas. Publ. Math. IHES 32 (1967). | Zbl | EuDML | Numdam







