$p$-adic boundary values

p

-adic boundary values

Schneider, Peter ; Teitelbaum, Jeremy

Cohomologies

p

-adiques et applications arithmétiques (I), Astérisque, no. 278 (2002), pp. 51-125.

corrigé par Correction to "

p

-adic boundary values"

MR Zbl | 4 citations dans Numdam

@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},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {278},
     year = {2002},
     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/

Bibliographie
Cité par

[Ber] Berkovich, V.: Spectral theory and analytic geometry over non-archimedean fields. Providence: AMS 1990. | MR | Zbl

[Be2] Berkovich, V.: The automorphism group of the Drinfeld half-plane. C. R. Acad. Sci. Paris 321, 1127-1132 (1995). | MR | Zbl

[BS] Borel, A., Serre, J.-P.: Cohomologie d'immeubles et de groupes $S$ -arithmétiques. Topology 15, 211-232 (1976). | DOI | MR | Zbl

[B-GT] Bourbaki, N.: General Topology, 2 vol. Berlin-Heidelberg-New York: Springer 1989.

[B-GAL] Bourbaki, N.: Groupes et algèbres de Lie, Chap. 2 et 3. Paris: Hermann 1972. | MR | Zbl

[B-TG3] Bourbaki, N.: Topologie Générale, 3ème ed. Paris: Hermann 1961. | MR

[B-TVS] Bourbaki, N.: Topological Vector Spaces. Berlin-Heidelberg-New York: Springer 1987. | DOI | MR | Zbl

[B-VAR] Bourbaki, N.: Variétés différentielles et analytiques. Fascicule de résultats. Paris: Hermann 1967. | Zbl

[DeG] De Grande-De Kimpe, N.: $C$ -compactness in locally $K$ -convex spaces. Indagationes Math. 74, 176-180 (1971). | DOI | MR | Zbl

[GKPS] De Grande-De Kimpe, N., Kakol, J., Perez-Garcia, C., Schikhof, W.: $p$ -adic locally convex inductive limits. In $p$ -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] Féaux De Lacroix, C. T: Einige Resultate über die topologischen Darstellungen $p$ -adischer Liegruppen auf unendlich dimensionalen Vektorräumen über einem $p$ -adischen Körper. Thesis, Köln 1997, Schriftenreihe Math. Inst. Univ. Münster, 3. Serie, Heft 23, pp. 1-111 (1999). | MR | Zbl

[GKZ] Gelfand, I. M., Kapranov, M. M., Zelevinsky, A. V.: Generalized Euler integrals and $A$ -hypergeometric functions. Adv. Math. 84, 255-271 (1990). | DOI | MR | Zbl

[GV] Gel'Fand, I. M., Varchenko, A. N.: Heaviside functions of a configuration of hyperplanes. Funct. Anal. Appl. 21, 255-270 (1987). | MR | Zbl

[GK] Gilsdorf, T., Kakol, J.: On some non-archimedean closed graph theorems. In $p$ -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] Hartshorne, R.: Algebraic Geometry. Berlin-Heidelberg-New York: Springer 1977. | DOI | MR | Zbl

[Hel] Helgason, S.: Differential Geometry, Lie Groups, and Symmetric Spaces. New York: Academic Press 1978. | MR | Zbl

[Kom] Komatsu, H.: Projective and injective limits of weakly compact sequences of locally convex spaces. J. Math. Soc. Japan 19, 366-383 (1967). | DOI | MR | Zbl

[Mol] Morita, Y.: A $p$ -Adic Theory of Hyperfunctions, I. Publ. RIMS, Kyoto Univ. 17, 1-24 (1981). | DOI | MR | Zbl

[Mo2] Morita, Y., Murase, A.: Analytic representations of $S L_{2}$ over a $p$ -adic number field. J. Fac. Sci. Univ. Tokyo 28, 891-905 (1982). | MR | Zbl

[Mo3] Morita, Y.: Analytic representations of $S L_{2}$ over a $p$ -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] Morita, Y.: Analytic Representations of $S L_{2}$ over a $p$ -Adic Number Field, III. In Automorphic Forms and Number Theory, Adv. Studies Pure Math. 7, pp. 185-222. Tokyo: Kinokuniya 1985. | DOI | MR | Zbl

[Mo5] Morita, Y., Schikhof, W. H.: Duality of projective limit spaces and inductive limit spaces over a nonspherically complete nonarchimedean field. Tohoku Math. J. 38, 387-397 (1986). | DOI | MR | Zbl

[Mo6] Morita, Y.: A $p$ -adic Theory of Hyperfunctions, II. In Algebraic Analysis vol. I (eds. Kashiwara, Kawai), pp.457-472. San Diego: Academic Press 1988. | DOI | MR | Zbl

[Mum] Mumford, D., Fogarty, J.: Geometric Invariant Theory. Second Edition. Berlin-Heidelberg-New York: Springer 1982. | MR | Zbl

[RZ] Rapoport, M., Zink, T.: Period spaces for $p$ -divisible groups. Annals of Math. Studies, vol. 141. Princeton University Press 1996. | MR | Zbl

[SS] Schneider, P., Stuhler, U.: The cohomology of $p$ -adic symmetric spaces. Invent. math. 105, 47-122 (1991). | DOI | EuDML | MR | Zbl

[Sch] Schneider, P.: The cohomology of local systems on $p$ -adically uniformized varieties. Math. Ann. 293, 623-650 (1992). | DOI | EuDML | MR | Zbl

[ST] Schneider, P., Teitelbaum, J.: An integral transform for $p$ -adic symmetric spaces. Duke Math. J. 86, 391-433 (1997). | DOI | MR | Zbl

[Tie] Van Tiel, J.: Espaces localement $K$ -convexes I-III. Indagationes Math. 27, 249-258, 259-272, 273-289 (1965). | DOI | MR | Zbl

[Var] Varshavsky, Y.: $p$ -adic uniformization of unitary Shimura varieties. Thesis, Hebrew University, Jerusalem. | DOI | Numdam | Zbl

[War] Warner, G.: Harmonic Analysis on Semi-Simple Lie Groups I. Berlin-Heidelberg-New York: Springer 1972. | MR | Zbl

[EGAIV] Grothendieck, A., Dieudonné, J.: Eléments de Géométrie Algébrique IV. Étude locale des schémas et des morphismes de schémas. Publ. Math. IHES 32 (1967). | EuDML | Numdam | Zbl