Extending holomorphic maps in infinite dimensions

• Autorzy: Bui Dac Tac
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32D10: Envelopes of holomorphy

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 54
• Numer: 3
• Strony: 241-253

Daty

wydano

1991

otrzymano

1988-11-05

poprawiono

1989-08-03

Twórcy

autor

Bui Dac Tac

• Department of Mathematics, Pedagogical Institute 1 of Hanoi, Hanoi, Vietnam

Bibliografia

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