Fréchet-valued holomorphic functions on compact sets in (DFN)-spaces
The aim of this paper is to give the equivalence between the weak holomorphicity and the holomorphicity of Frechet-valued functions on compact polydiscs in (DFN)-spaces. Moreover, the relations between separately holomorphic functions and holomorphic functions on compact polydiscs in (DFN)-spaces...
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| Date: | 2008 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2008
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164786 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Fréchet-valued holomorphic functions on compact sets in (DFN)-spaces / Pham Hien Bang // Український математичний журнал. — 2008. — Т. 60, № 11. — С. 1578–1584. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The aim of this paper is to give the equivalence between the weak holomorphicity and the holomorphicity
of Frechet-valued functions on compact polydiscs in (DFN)-spaces. Moreover, the relations between
separately holomorphic functions and holomorphic functions on compact polydiscs in (DFN)-spaces are
also given. |
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