Martínez Ansemil, José María and Ponte Miramontes, María del 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 |
|---|---|
| Uncontrolled Keywords: | Riemann domain over a complex Fréchet space; space of all holomorphic germs |
| Subjects: | Sciences > Mathematics > Functions |
| ID Code: | 16811 |
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| Deposited On: | 23 Oct 2012 10:24 |
| Last Modified: | 23 Oct 2012 10:24 |
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