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| Página principal > Artículos > Artículos publicados > The linear invariants (dn ) and (Ω) for spaces of germs of holomorphic functions on compact subsets of Cn |
| Fecha: | 2004 |
| Resumen: | For a compact subset K of Cn, we give necessary and sufficient conditions for [H(K)]0 to have the property (DN), and similarly for the property (Ω). We also show that H(D) is isomorphic to H(∆ n), where ∆n is the unit polydisc in Cn and D is any bounded Reinhardt domain in Cn. This last result requires a generalization of the classical Hartogs phenomenon. |
| Derechos: | Tots els drets reservats.  |
| Lengua: | Anglès |
| Documento: | Article ; recerca ; Versió publicada |
| Materia: | Linear topological invariants ; Germs of holomorphic functions ; Pseudoconvex domains ; Pluriregular point |
| Publicado en: | Publicacions matemàtiques, V. 48 N. 1 (2004) , p. 49-68, ISSN 2014-4350 |
