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On the zero sets of bounded holomorphic functions in the bidisc
| dc.contributor.author | Charpentier, Philippe |
| dc.contributor.author | Ortega Cerdà, Joaquim |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2007-04-30T11:29:55Z |
| dc.date.available | 2007-04-30T11:29:55Z |
| dc.date.created | 1994 |
| dc.date.issued | 1994 |
| dc.identifier.uri | http://hdl.handle.net/2117/827 |
| dc.description.abstract | In this work we prove in a constructive way a theorem of Rudin which says that if $E$ is an analytic subset of the bidisc $D^2$ (with multiplicities) which does not intersect a neighbourhood of the distinguished boundary, then $E$ is the zero set (with multiplicities) of a bounded holomorphic function. This approach allows us to generalize this theorem and also some results obtained by P.S. Chee. |
| dc.format.extent | 19 |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
| dc.subject.lcsh | Functions of several complex variables |
| dc.subject.lcsh | Holomorphic functions |
| dc.subject.lcsh | Analytic spaces |
| dc.subject.other | Bounded Holomorphic Functions |
| dc.subject.other | zero sets |
| dc.title | On the zero sets of bounded holomorphic functions in the bidisc |
| dc.type | Article |
| dc.subject.lemac | Funcions holomorfes |
| dc.subject.lemac | Espais analítics |
| dc.subject.ams | Classificació AMS::32 Several complex variables and analytic spaces::32A Holomorphic functions of several complex variables |
| dc.subject.ams | Classificació AMS::32 Several complex variables and analytic spaces::32C Analytic spaces |
| dc.rights.access | Open Access |
| local.personalitzacitacio | true |
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