Geodesic
Extending holomorphic maps in infinite dimensions
Annales Polonici Mathematici, Tome 54 (1991) no. 3, pp. 241-253
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Studying the sequential completeness of the space of germs of Banach-valued holomorphic functions at a points of a metric vector space some theorems on extension of holomorphic maps on Riemann domains over topological vector spaces with values in some locally convex analytic spaces are proved. Moreover, the extendability of holomorphic maps with values in complete C-spaces to the envelope of holomorphy for the class of bounded holomorphic functions is also established. These results are known in some special cases. 
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     author = {Bui Tac},
     title = {Extending holomorphic maps in infinite dimensions},
     journal = {Annales Polonici Mathematici},
     pages = {241--253},
     year = {1991},
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     number = {3},
     doi = {10.4064/ap-54-3-241-253},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-54-3-241-253/}
}
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Bui Tac. Extending holomorphic maps in infinite dimensions. Annales Polonici Mathematici, Tome 54 (1991) no. 3, pp. 241-253. doi: 10.4064/ap-54-3-241-253

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