On a characterization of the analytic and meromorphic functions defined on some rigid domains

Capi Corrales Rodrigáñez

Journal de théorie des nombres de Bordeaux (1994)

  • Volume: 6, Issue: 1, page 117-125
  • ISSN: 1246-7405

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Corrales Rodrigáñez, Capi. "On a characterization of the analytic and meromorphic functions defined on some rigid domains." Journal de théorie des nombres de Bordeaux 6.1 (1994): 117-125. <http://eudml.org/doc/247536>.

@article{CorralesRodrigáñez1994,
author = {Corrales Rodrigáñez, Capi},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {nonarchimedean field; holomorphic function; meromorphic function},
language = {eng},
number = {1},
pages = {117-125},
publisher = {Université Bordeaux I},
title = {On a characterization of the analytic and meromorphic functions defined on some rigid domains},
url = {http://eudml.org/doc/247536},
volume = {6},
year = {1994},
}

TY - JOUR
AU - Corrales Rodrigáñez, Capi
TI - On a characterization of the analytic and meromorphic functions defined on some rigid domains
JO - Journal de théorie des nombres de Bordeaux
PY - 1994
PB - Université Bordeaux I
VL - 6
IS - 1
SP - 117
EP - 125
LA - eng
KW - nonarchimedean field; holomorphic function; meromorphic function
UR - http://eudml.org/doc/247536
ER -

References

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  1. [A-S] W.W. Adams, E.G. Straus, Non-archimedean analytic functions taking the same values at the same points, Illinois J. of Math15 (1971), 418-424. Zbl0215.13202MR277771
  2. [B] N. Bourbaki, Eléments de mathématiques. Espaces vectoriels topologiques, Chap. I, Hermann, Paris, 1953. Zbl0050.10703MR54161
  3. [B-D-R] S. Bosch, B. Dwork, P. Robba, Un théorème de prolongement pour des fonctions anatytiques, Math. Ann.252 (1980), 165-173. Zbl0446.32005MR593629
  4. [B-G-R] S. Bosch, U. Gfjntzer, R. Remmert, Non archimedean analysis, Grund. der Math262, Springer Verlag, 1984. Zbl0539.14017MR746961
  5. [F] J. Fresnel, Géométrie anlytique rigide, Université Bordeaux I, 1984. 
  6. [F-M] J. Fresnel, M. Matignon, Sur les espaces analytiques quasi-compacts de dimension 1 sur un corps valué complet ultramétrique, Annali di matematica pura ed applicata (IV) CXLV (1986), 159-210. Zbl0623.32020MR886711
  7. [F-vdP] J. Fresnel, M. van der PUT, Géométrie analytique rigide et applications, Progress in Math.18, Birkhäuser, 1981. Zbl0479.14015MR644799
  8. [K] R. Kiehl, Theorem A und Theorem B in der nichtarchimedischen Funktionertheorie, Invent. Math.2 (1967), 256-273. Zbl0202.20201MR210949
  9. [S] J.-P. Serre, Géométrie algebrique et géométrie analytique, Ann. Inst. Fourier6 (1956), 1-42. Zbl0075.30401MR82175

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