dc.creator | Montes Rodríguez, Alfonso | es |
dc.date.accessioned | 2016-06-03T09:06:40Z | |
dc.date.available | 2016-06-03T09:06:40Z | |
dc.date.issued | 1998 | |
dc.identifier.citation | Montes Rodríguez, A. (1998). A Birkhoff theorem for Riemann surfaces. Rocky Mountain Journal of Mathematics, 28 (2), 663-693. | |
dc.identifier.issn | 0035-7596 | es |
dc.identifier.issn | 1945-3795 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41843 | |
dc.description.abstract | A classical theorem of Birkhoff asserts that there exists an entire function f such that the sequence of function {/(z + n)}n≥o is dense in the space of entire functions. In this paper we give sufficient conditions on a Riemann surface R and on a given sequence {φn}n≥o of holomorphic self-mappings of R such that there exists a holomorphic function f on R such that {f o φn}n≥0 is dense in the space of holomorphic functions on R. The necessity of these conditions is examined. In particular, we characterize the Riemann surfaces R and the sequences {φn}n≥0 of automorphisms of R. for which there exists a holomorphic function f on R with the property that the sequence {f o φn] n≥o is dense in the space of the holomorphic functions on R. | es |
dc.description.sponsorship | Dirección General de Investigación Científica y Técnica | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Rocky Mountain Mathematics Consortium | es |
dc.relation.ispartof | Rocky Mountain Journal of Mathematics, 28 (2), 663-693. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | A Birkhoff theorem for Riemann surfaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | P93-0926 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1216/rmjm/1181071794 | |
dc.identifier.doi | 10.1216/rmjm/1181071794 | |
idus.format.extent | 31 p. | es |
dc.journaltitle | Rocky Mountain Journal of Mathematics | es |
dc.publication.volumen | 28 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 663 | es |
dc.publication.endPage | 693 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41843 | |
dc.contributor.funder | Dirección General de Investigación Científica y Técnica (DGICYT). España | |