Structure of space of germs of holomorphic functions and a Hartogs type theorem (Q1808902)
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scientific article; zbMATH DE number 1369985
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structure of space of germs of holomorphic functions and a Hartogs type theorem |
scientific article; zbMATH DE number 1369985 |
Statements
Structure of space of germs of holomorphic functions and a Hartogs type theorem (English)
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29 January 2001
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Some results about linear topological invariants in spaces of holomorphic functions in infinite-dimensional topological vector spaces and their duals are announced. As an application a Hartogs-type theorem on holomorphy of separately holomorphic functions is extended to the infinite-dimensional case of pairs of certain Fréchet spaces having properties \((\widetilde \Omega)\) and \((DN)\) respectively.
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infinite-dimensional holomorphy
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linear topological invariants
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spaces of holomorphic functions in infinite-dimensional topological vector spaces
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Hartogs-type theorem
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holomorphy of separately holomorphic functions
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