Some remarks on holomorphic extension in infinite dimensions
Colloquium Mathematicae (1994)
- Volume: 67, Issue: 2, page 155-159
- ISSN: 0010-1354
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topBan, Pham. "Some remarks on holomorphic extension in infinite dimensions." Colloquium Mathematicae 67.2 (1994): 155-159. <http://eudml.org/doc/210268>.
@article{Ban1994,
abstract = {In finite-dimensional complex analysis, the extension of holomorphic maps has been investigated by many authors. In recent years some authors have considered this problem in the infinite-dimensional case. The aim of the present note is to study the extension of holomorphic maps with values in some Banach complex manifolds.},
author = {Ban, Pham},
journal = {Colloquium Mathematicae},
keywords = {complex Banach manifold; holomorphic extension; weak disc condition},
language = {eng},
number = {2},
pages = {155-159},
title = {Some remarks on holomorphic extension in infinite dimensions},
url = {http://eudml.org/doc/210268},
volume = {67},
year = {1994},
}
TY - JOUR
AU - Ban, Pham
TI - Some remarks on holomorphic extension in infinite dimensions
JO - Colloquium Mathematicae
PY - 1994
VL - 67
IS - 2
SP - 155
EP - 159
AB - In finite-dimensional complex analysis, the extension of holomorphic maps has been investigated by many authors. In recent years some authors have considered this problem in the infinite-dimensional case. The aim of the present note is to study the extension of holomorphic maps with values in some Banach complex manifolds.
LA - eng
KW - complex Banach manifold; holomorphic extension; weak disc condition
UR - http://eudml.org/doc/210268
ER -
References
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- [7] S. M. Ivashkovich, Hartogs' phenomenon for holomorphically convex Kähler manifolds, Izv. Akad. Nauk SSSR Ser. Mat. 50 (1986), 866-873 (in Russian).
- [8] S. Kobayashi, Hyperbolic Manifolds and Holomorphic Maps, Dekker, New York, 1970.
- [9] P. Noverraz, Pseudo-convexité, Convexité Polynomiale et Domaines d'Holomorphie en Dimension Infinie, North-Holland Math. Stud. 3, North-Holland, Amsterdam, 1973. Zbl0251.46049
- [10] B. Shiffman, Extension of holomorphic maps into Hermitian manifolds, Math. Ann. 194 (1971), 249-258. Zbl0213.36001
- [11] B. D. Tac, Extending holomorphic maps in infinite dimensions, Ann. Polon. Math. 54 (1991), 241-253. Zbl0736.46042
- [12] D. D. Thai, On the D*-extension and the Hartogs extension, Ann. Scuola Norm. Sup. Pisa 18 (1991), 13-38. Zbl0743.32013
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