H∞-extensibility and finite proper holomorphic surjections

Tran Ngoc Giao

Annales de la Faculté des sciences de Toulouse : Mathématiques (1994)

  • Volume: 3, Issue: 2, page 293-303
  • ISSN: 0240-2963

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Ngoc Giao, Tran. "H∞-extensibility and finite proper holomorphic surjections." Annales de la Faculté des sciences de Toulouse : Mathématiques 3.2 (1994): 293-303. <http://eudml.org/doc/73336>.

@article{NgocGiao1994,
author = {Ngoc Giao, Tran},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Gateaux holomorphic extension; finite proper holomorphic surjection; holomorphic -extension property; compact analytic set of positive dimension; Riemann domain; holomorphic outside a hypersurface},
language = {eng},
number = {2},
pages = {293-303},
publisher = {UNIVERSITE PAUL SABATIER},
title = {H∞-extensibility and finite proper holomorphic surjections},
url = {http://eudml.org/doc/73336},
volume = {3},
year = {1994},
}

TY - JOUR
AU - Ngoc Giao, Tran
TI - H∞-extensibility and finite proper holomorphic surjections
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1994
PB - UNIVERSITE PAUL SABATIER
VL - 3
IS - 2
SP - 293
EP - 303
LA - eng
KW - Gateaux holomorphic extension; finite proper holomorphic surjection; holomorphic -extension property; compact analytic set of positive dimension; Riemann domain; holomorphic outside a hypersurface
UR - http://eudml.org/doc/73336
ER -

References

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  1. [1] Douady ( A.) .— Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné, Ann. Inst. Fourier, Grenoble, 16, n° 1 (1966), pp. 1-95. Zbl0146.31103MR203082
  2. [2] Fischer ( G.) . — Complex Analytic Geometry, Springer Verlag, Berlin, Lecture Notes in Math.538 (1976). Zbl0343.32002MR430286
  3. [3] Hirschowitz ( A.) .— Domaines de Stein et fonctions holomorphes bornées, Math. Ann.213 (1975), pp. 185-193. Zbl0284.32011MR393563
  4. [4] Khue ( N.V.) and Tac ( B.D.) .— Extending holomorphic maps in infinite dimensions, Studia Math.45 (1990), pp. 263-272. Zbl0752.46029MR1060729
  5. [5] Ransford ( T.J.) .— Open mapping, inversion and implicit function theorems for analytic multivalued functions, Proc. London Math. Soc. (3), 49 (1984), pp. 537-562. Zbl0526.46045MR759303
  6. [6] Sibony ( N.) .— Prolongement des fonctions holomorphes bornées et métriques de Carathéodory, Invent. Math.29 (1975), pp. 205-230. Zbl0333.32011MR385164
  7. [7] Slodkowski ( Z.) .— Analytic set-valued functions and spectra, Math. Ann.256 (1981), pp. 363-386. Zbl0452.46028MR626955

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