Martínez Ansemil, José MaríaPonte Miramontes, María Del Socorro2023-06-202023-06-201993-01-01Martínez Ansemil, J. M. & Ponte Miramontes, M. S. «Spaces of Holomorphic Germs on Quotients». Journal of Mathematical Analysis and Applications, vol. 172, n.o 1, enero de 1993, pp. 33-38. DOI.org (Crossref), https://doi.org/10.1006/jmaa.1993.1004.0022-247X10.1006/jmaa.1993.1004https://hdl.handle.net/20.500.14352/57628Let (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.engjournal articlehttps//doi.org/10.1006/jmaa.1993.1004http://www.sciencedirect.com/science/article/pii/S0022247X83710048restricted access517.553Riemann domain over a complex Fréchet spaceSpace of all holomorphic germsFunciones (Matemáticas)1202 Análisis y Análisis Funcional