# Extending holomorphic maps in infinite dimensions

Annales Polonici Mathematici (1991)

- Volume: 54, Issue: 3, page 241-253
- ISSN: 0066-2216

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topBui Dac Tac. "Extending holomorphic maps in infinite dimensions." Annales Polonici Mathematici 54.3 (1991): 241-253. <http://eudml.org/doc/262261>.

@article{BuiDacTac1991,

abstract = {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.},

author = {Bui Dac Tac},

journal = {Annales Polonici Mathematici},

keywords = {Riemann domain modeled on a topological vector space; holomorphic mapping; holomorphic continuations to the envelope of holomorphy; L- space; finite dimensional extension property; Stein manifold; HZ-space; sequentially complete locally convex space; domain of existence of a Banach-valued holomorphic function},

language = {eng},

number = {3},

pages = {241-253},

title = {Extending holomorphic maps in infinite dimensions},

url = {http://eudml.org/doc/262261},

volume = {54},

year = {1991},

}

TY - JOUR

AU - Bui Dac Tac

TI - Extending holomorphic maps in infinite dimensions

JO - Annales Polonici Mathematici

PY - 1991

VL - 54

IS - 3

SP - 241

EP - 253

AB - 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.

LA - eng

KW - Riemann domain modeled on a topological vector space; holomorphic mapping; holomorphic continuations to the envelope of holomorphy; L- space; finite dimensional extension property; Stein manifold; HZ-space; sequentially complete locally convex space; domain of existence of a Banach-valued holomorphic function

UR - http://eudml.org/doc/262261

ER -

## References

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