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The convergence-extension theorem of Noguchi in infinite dimensions

Authors: Do Duc Thai and Tran Ngoc Giao
Journal: Proc. Amer. Math. Soc. 130 (2002), 477-482
MSC (1991): Primary 32H05, 32H15; Secondary 32M05, 32M99
Published electronically: September 19, 2001
MathSciNet review: 1862128
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Abstract: In this note we give generalizations of Noguchi's convergence-extension theorem to the case of infinite dimension.

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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

Tran Ngoc Giao
Affiliation: Department of Mathematics, Pedagogical University of Vinh, Vinh, Vietnam

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
Published electronically: September 19, 2001
Communicated by: Steven R. Bell
Article copyright: © Copyright 2001 American Mathematical Society