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Ansemil, José María M. and Ponte, Socorro
(1993)
*Spaces of holomorphic germs on quotients.*
Journal of Mathematical Analysis and Applications, 172
(1).
pp. 33-38.
ISSN 0022-247X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X83710048

## Abstract

Let (X, Φ) be a Riemann domain over a complex Fréchet space E, K a compact subset of X and (K) the vector space of all holomorphic germs on K. Given an F-quotient (XF, φF, ψ) of (X, φ) (see the definition below), the canonical mapping ψ : X ↦ XF induces a mapping ψ* : g ∈ (ψ(K)) ↦ g ○ ψ ∈ (K). Our aim here is to study conditions under which ψ* is an embedding when natural topologies on spaces of germs are considered.

Item Type: | Article |
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Uncontrolled Keywords: | Riemann domain over a complex Fréchet space; space of all holomorphic germs |

Subjects: | Sciences > Mathematics > Functions |

ID Code: | 16811 |

Deposited On: | 23 Oct 2012 08:24 |

Last Modified: | 10 Aug 2018 09:28 |

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