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Fréchet-valued holomorphic functions on compact sets in (DFN)-spaces

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Ukrainian Mathematical Journal Aims and scope

We establish the equivalence between the weak holomorphicity and holomorphicity of Fréchet-valued functions on compact polydisks in (DFN)-spaces. Moreover, the relations between separately holomorphic functions and holomorphic functions on compact polydisks in (DFN)-spaces are also given.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 11, pp. 1578–1584, November, 2008.

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Hien Bang, P. Fréchet-valued holomorphic functions on compact sets in (DFN)-spaces. Ukr Math J 60, 1852–1859 (2008). https://doi.org/10.1007/s11253-009-0175-3

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  • DOI: https://doi.org/10.1007/s11253-009-0175-3

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