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| Home > Articles > Published articles > The linear invariants (dn ) and (Ω) for spaces of germs of holomorphic functions on compact subsets of Cn |
| Date: | 2004 |
| Abstract: | 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. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Linear topological invariants ; Germs of holomorphic functions ; Pseudoconvex domains ; Pluriregular point |
| Published in: | Publicacions matemàtiques, V. 48 N. 1 (2004) , p. 49-68, ISSN 2014-4350 |
