Geodesic
Extending holomorphic maps in infinite dimensions
Annales Polonici Mathematici, Tome 54 (1991) no. 3, pp. 241-253 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/ap-54-3-241-253

Bui Tac 1

1 
@article{10_4064_ap_54_3_241_253,
     author = {Bui Tac},
     title = {Extending holomorphic maps in infinite dimensions},
     journal = {Annales Polonici Mathematici},
     pages = {241--253},
     year = {1991},
     volume = {54},
     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/}
}
TY  - JOUR
AU  - Bui Tac
TI  - Extending holomorphic maps in infinite dimensions
JO  - Annales Polonici Mathematici
PY  - 1991
SP  - 241
EP  - 253
VL  - 54
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-54-3-241-253/
DO  - 10.4064/ap-54-3-241-253
LA  - en
ID  - 10_4064_ap_54_3_241_253
ER  - 
%0 Journal Article
%A Bui Tac
%T Extending holomorphic maps in infinite dimensions
%J Annales Polonici Mathematici
%D 1991
%P 241-253
%V 54
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-54-3-241-253/
%R 10.4064/ap-54-3-241-253
%G en
%F 10_4064_ap_54_3_241_253
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

Cité par Sources :