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The convergence-extension theorem of Noguchi in infinite dimensions
Author(s):
Do
Duc
Thai;
Tran
Ngoc
Giao
Journal:
Proc. Amer. Math. Soc.
130
(2002),
477-482.
MSC (1991):
Primary 32H05, 32H15;
Secondary 32M05, 32M99
Posted:
September 19, 2001
MathSciNet review:
1862128
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Additional information
Abstract:
In this note we give generalizations of Noguchi's convergence-extension theorem to the case of infinite dimension.
References:
-
- [J-K]
- J.E. Joseph and M.H. Kwack, Hyperbolic embedding and spaces of continuous extensions of holomorphic maps, J. Geom. Analysis 4(1994), 361-378. MR 95g:32037
- [Ko]
- S.Kobayashi, Hyperbolic Complex Spaces, vol. 318(1998), Grundlehren der mathematischen Wissenschaften. MR 99m:32026
- [La]
- S. Lang, Introduction to Complex Hyperbolic Spaces, Springer-Verlag (1987). MR 88f:32065
- [Ma]
- P. Mazet, Analytic Sets in Locally Convex Spaces, Math. Studies, North-Holland, v.121(1987). 1984 edition MR 86i:32012
- [Mu]
- J. Mujica, Complex Analysis in Banach Spaces, Math. Studies, North-Holland, v.120(1986). MR 88d:46084
- [No]
- J. Noguchi, Moduli spaces of holomorphic mappings into hyperbolically imbedded complex spaces and locally symmetric spaces, Invent. Math. 93(1988), 15-34. MR 89j:32031
- [N-O]
- J. Noguchi and T. Ochiai, Geometric Function Theory in Several Complex Variables, Translations of Math. Monographs, Amer. Math. Soc., v. 80(1990). MR 92e:32001
- [Ra]
- J. P. Ramis, Sous-ensembles Analytiques d'une Variété Banachique Complexe, Springer-Verlag (1970). MR 45:2205
- [T-H]
- Do Duc Thai and Nguyen Le Huong, On the disc-convexity of Banach analytic manifolds, Ann. Pol. Math. 69(1998), 1-11. MR 2000b:32042
- [V-F]
- E. Vesentini and T. Franzoni, Holomorphic Maps and Invariant Distances, Math. Studies, North-Holland, v. 40(1980). MR 82a:32032
- [Ve]
- E. Vesentini, Invariant distances and invariant differential metric in locally convex spaces, Spectral theory, Banach Centre Publication U.8 P.W.N, Polish Sci. Publisher Warsaw, (1982), 493-512. MR 85d:32049
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MSC (1991):
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Additional Information:
Do
Duc
Thai
Affiliation:
Department of Mathematics, Pedagogical University of Hanoi, Caugiay, Hanoi, Vietnam
Address at time of publication:
Department of Mathematics, Hanoi University of Education, Cau Giay, Tu Liem, Hanoi, Vietnam
Email:
ddthai@netnam.org.vn
Tran
Ngoc
Giao
Affiliation:
Department of Mathematics, Pedagogical University of Vinh, Vinh, Vietnam
DOI:
10.1090/S0002-9939-01-06129-9
PII:
S 0002-9939(01)06129-9
Keywords:
Banach analytic space,
complex hypersurface of a Banach analytic manifold with only normal crossings,
hyperbolically imbedded Banach analytic subspace of a Banach analytic space
Received by editor(s):
June 27, 2000
Posted:
September 19, 2001
Communicated by:
Steven R. Bell
Copyright of article:
Copyright
2001,
American Mathematical Society
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